75924828 has 72 divisors (see below), whose sum is σ = 226437120. Its totient is φ = 20990880.

The previous prime is 75924769. The next prime is 75924841. The reversal of 75924828 is 82842957.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 2953 + ... + 12671.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2^75924828 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 75924828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

75924828 is an abundant number, since it is smaller than the sum of its proper divisors (150512292).

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

75924828 is a wasteful number, since it uses less digits than its factorization.

75924828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9767 (or 9762 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 75924828 is about 8713.4854105576. The cubic root of 75924828 is about 423.4426565087.

The spelling of 75924828 in words is "seventy-five million, nine hundred twenty-four thousand, eight hundred twenty-eight".