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28428032 = 28293379
BaseRepresentation
bin110110001110…
…0011100000000
31222111021221002
41230130130000
524234144112
62453151132
7463430363
oct154343400
958437832
1028428032
1115057446
12962b4a8
135b74629
143ac00da
1527681c2
hex1b1c700

28428032 has 36 divisors (see below), whose sum is σ = 57088920. Its totient is φ = 14128128.

The previous prime is 28428017. The next prime is 28428053. The reversal of 28428032 is 23082482.

It is a junction number, because it is equal to n+sod(n) for n = 28427986 and 28428004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 74819 + ... + 75197.

Almost surely, 228428032 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 28428032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28544460).

28428032 is an abundant number, since it is smaller than the sum of its proper divisors (28660888).

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

28428032 is an equidigital number, since it uses as much as digits as its factorization.

28428032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 28428032 is about 5331.7944446499. The cubic root of 28428032 is about 305.1984089302.

The spelling of 28428032 in words is "twenty-eight million, four hundred twenty-eight thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 293 379 586 758 1172 1516 2344 3032 4688 6064 9376 12128 18752 24256 37504 48512 75008 97024 111047 222094 444188 888376 1776752 3553504 7107008 14214016 28428032