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28360944 = 2432375323
BaseRepresentation
bin110110000110…
…0000011110000
31222100212220100
41230030003300
524230022234
62451512400
7463030653
oct154140360
958325810
1028360944
1115010aa7
1295b8700
135b4cc31
143aa389a
152753399
hex1b0c0f0

28360944 has 60 divisors (see below), whose sum is σ = 81531736. Its totient is φ = 9196416.

The previous prime is 28360933. The next prime is 28360973. The reversal of 28360944 is 44906382.

It is a happy number.

28360944 is a `hidden beast` number, since 2 + 8 + 3 + 609 + 44 = 666.

It is a super-2 number, since 2×283609442 = 1608686289142272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28360899 and 28360908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2667 + ... + 7989.

Almost surely, 228360944 is an apocalyptic number.

28360944 is a gapful number since it is divisible by the number (24) 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 28360944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40765868).

28360944 is an abundant number, since it is smaller than the sum of its proper divisors (53170792).

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

28360944 is a wasteful number, since it uses less digits than its factorization.

28360944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374 (or 5365 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 28360944 is about 5325.4994132006. The cubic root of 28360944 is about 304.9581381228.

The spelling of 28360944 in words is "twenty-eight million, three hundred sixty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5323 5328 10646 15969 21292 31938 42584 47907 63876 85168 95814 127752 191628 196951 255504 383256 393902 590853 766512 787804 1181706 1575608 1772559 2363412 3151216 3545118 4726824 7090236 9453648 14180472 28360944