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28249728 = 273135659
BaseRepresentation
bin110101111000…
…0111010000000
31222011020100020
41223300322000
524212442403
62445253440
7462055503
oct153607200
958136306
1028249728
1114a45491
129564280
135b11420
143a7513a
152730453
hex1af0e80

28249728 has 64 divisors (see below), whose sum is σ = 80824800. Its totient is φ = 8690688.

The previous prime is 28249723. The next prime is 28249729. The reversal of 28249728 is 82794282.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 28249728.

It is not an unprimeable number, because it can be changed into a prime (28249721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2163 + ... + 7821.

Almost surely, 228249728 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 28249728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40412400).

28249728 is an abundant number, since it is smaller than the sum of its proper divisors (52575072).

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

28249728 is a wasteful number, since it uses less digits than its factorization.

28249728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5689 (or 5677 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 28249728 is about 5315.0473186981. The cubic root of 28249728 is about 304.5589899761.

The spelling of 28249728 in words is "twenty-eight million, two hundred forty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 5659 11318 16977 22636 33954 45272 67908 73567 90544 135816 147134 181088 220701 271632 294268 362176 441402 543264 588536 724352 882804 1086528 1177072 1765608 2173056 2354144 3531216 4708288 7062432 9416576 14124864 28249728