77952028 has 48 divisors (see below), whose sum is σ = 172456704. Its totient is φ = 29946240.

The previous prime is 77952019. The next prime is 77952059. The reversal of 77952028 is 82025977.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20751 + ... + 24217.

It is an arithmetic number, because the mean of its divisors is an integer number (3592848).

Almost surely, 2^77952028 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 77952028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86228352).

77952028 is an abundant number, since it is smaller than the sum of its proper divisors (94504676).

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

77952028 is a wasteful number, since it uses less digits than its factorization.

77952028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3562 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 77952028 is about 8829.0445689214. The cubic root of 77952028 is about 427.1782570515.

The spelling of 77952028 in words is "seventy-seven million, nine hundred fifty-two thousand, twenty-eight".