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28408952 = 231113191307
BaseRepresentation
bin110110001011…
…1110001111000
31222110022202102
41230113301320
524233041302
62452522532
7463320635
oct154276170
958408672
1028408952
1115044080
129620448
135b68a40
143ab718c
152762702
hex1b17c78

28408952 has 64 divisors (see below), whose sum is σ = 65923200. Its totient is φ = 11283840.

The previous prime is 28408943. The next prime is 28408957. The reversal of 28408952 is 25980482.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28408957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21083 + ... + 22389.

It is an arithmetic number, because the mean of its divisors is an integer number (1030050).

Almost surely, 228408952 is an apocalyptic number.

28408952 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28408952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32961600).

28408952 is an abundant number, since it is smaller than the sum of its proper divisors (37514248).

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

28408952 is a wasteful number, since it uses less digits than its factorization.

28408952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1352 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 28408952 is about 5330.0048780465. The cubic root of 28408952 is about 305.1301137945.

The spelling of 28408952 in words is "twenty-eight million, four hundred eight thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 11 13 19 22 26 38 44 52 76 88 104 143 152 209 247 286 418 494 572 836 988 1144 1307 1672 1976 2614 2717 5228 5434 10456 10868 14377 16991 21736 24833 28754 33982 49666 57508 67964 99332 115016 135928 186901 198664 273163 322829 373802 546326 645658 747604 1092652 1291316 1495208 2185304 2582632 3551119 7102238 14204476 28408952