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28374840 = 23335134347
BaseRepresentation
bin110110000111…
…1011100111000
31222101120222000
41230033130320
524230443330
62452101000
7463116324
oct154173470
958346860
1028374840
111502048a
129604760
135b56360
143aa8984
152757560
hex1b0f738

28374840 has 256 divisors, whose sum is σ = 106444800. Its totient is φ = 6676992.

The previous prime is 28374817. The next prime is 28374851. The reversal of 28374840 is 4847382.

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 = 28374795 and 28374804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 603697 + ... + 603743.

It is an arithmetic number, because the mean of its divisors is an integer number (415800).

Almost surely, 228374840 is an apocalyptic number.

28374840 is a gapful number since it is divisible by the number (20) 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 28374840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

28374840 is an abundant number, since it is smaller than the sum of its proper divisors (78069960).

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

28374840 is a wasteful number, since it uses less digits than its factorization.

28374840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 28374840 is about 5326.8039198003. The cubic root of 28374840 is about 305.0079367280.

The spelling of 28374840 in words is "twenty-eight million, three hundred seventy-four thousand, eight hundred forty".