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28733472 = 2532195989
BaseRepresentation
bin110110110011…
…1000000100000
32000001210220200
41231213000200
524323432342
62503505200
7466142025
oct155470040
960053820
1028733472
1115245979
129758200
135c50671
143b5d54c
1527c894c
hex1b67020

28733472 has 144 divisors (see below), whose sum is σ = 88452000. Its totient is φ = 8819712.

The previous prime is 28733443. The next prime is 28733479. The reversal of 28733472 is 27433782.

28733472 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×287334722 = 1651224826349568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28733479) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322804 + ... + 322892.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 228733472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28733472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226000).

28733472 is an abundant number, since it is smaller than the sum of its proper divisors (59718528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28733472 is a wasteful number, since it uses less digits than its factorization.

28733472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 172 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 28733472 is about 5360.3611818608. The cubic root of 28733472 is about 306.2875676807.

The spelling of 28733472 in words is "twenty-eight million, seven hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 59 72 76 89 96 114 118 144 152 171 177 178 228 236 267 288 304 342 354 356 456 472 531 534 608 684 708 712 801 912 944 1062 1068 1121 1368 1416 1424 1602 1691 1824 1888 2124 2136 2242 2736 2832 2848 3204 3363 3382 4248 4272 4484 5073 5251 5472 5664 6408 6726 6764 8496 8544 8968 10089 10146 10502 12816 13452 13528 15219 15753 16992 17936 20178 20292 21004 25632 26904 27056 30438 31506 35872 40356 40584 42008 47259 53808 54112 60876 63012 80712 81168 84016 94518 99769 107616 121752 126024 161424 162336 168032 189036 199538 243504 252048 299307 322848 378072 399076 487008 504096 598614 756144 798152 897921 1197228 1512288 1596304 1795842 2394456 3192608 3591684 4788912 7183368 9577824 14366736 28733472