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28374304 = 257197643
BaseRepresentation
bin110110000111…
…1010100100000
31222101120020011
41230033110200
524230434204
62452054304
7463114630
oct154172440
958346204
1028374304
1115020042
129604394
135b5603a
143aa86c0
152757304
hex1b0f520

28374304 has 48 divisors (see below), whose sum is σ = 64266048. Its totient is φ = 12079872.

The previous prime is 28374293. The next prime is 28374317. The reversal of 28374304 is 40347382.

It is a happy number.

It is a super-2 number, since 2×283743042 = 1610202254968832, which contains 22 as substring.

It is an unprimeable number.

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, 43807 + ... + 44449.

It is an arithmetic number, because the mean of its divisors is an integer number (1338876).

Almost surely, 228374304 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 28374304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32133024).

28374304 is an abundant number, since it is smaller than the sum of its proper divisors (35891744).

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

28374304 is a wasteful number, since it uses less digits than its factorization.

28374304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 28374304 is about 5326.7536079680. The cubic root of 28374304 is about 305.0060161852.

The spelling of 28374304 in words is "twenty-eight million, three hundred seventy-four thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 197 224 394 643 788 1286 1379 1576 2572 2758 3152 4501 5144 5516 6304 9002 10288 11032 18004 20576 22064 36008 44128 72016 126671 144032 253342 506684 886697 1013368 1773394 2026736 3546788 4053472 7093576 14187152 28374304