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28374528 = 293721329
BaseRepresentation
bin110110000111…
…1011000000000
31222101120112110
41230033120000
524230441103
62452055320
7463115400
oct154173000
958346473
1028374528
1115020226
129604540
135b56180
143aa8800
152757403
hex1b0f600

28374528 has 240 divisors, whose sum is σ = 97962480. Its totient is φ = 7225344.

The previous prime is 28374503. The next prime is 28374529. The reversal of 28374528 is 82547382.

It is a super-2 number, since 2×283745282 = 1610227678445568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28374529) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 978418 + ... + 978446.

It is an arithmetic number, because the mean of its divisors is an integer number (408177).

Almost surely, 228374528 is an apocalyptic number.

28374528 is a gapful number since it is divisible by the number (28) 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 28374528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48981240).

28374528 is an abundant number, since it is smaller than the sum of its proper divisors (69587952).

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

28374528 is a wasteful number, since it uses less digits than its factorization.

28374528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 54 counting only the distinct ones).

The product of its digits is 107520, while the sum is 39.

The square root of 28374528 is about 5326.7746338662. The cubic root of 28374528 is about 305.0068188030.

The spelling of 28374528 in words is "twenty-eight million, three hundred seventy-four thousand, five hundred twenty-eight".