82812928 has 56 divisors (see below), whose sum is σ = 180868320. Its totient is φ = 37601280.

The previous prime is 82812911. The next prime is 82812937. The reversal of 82812928 is 82921828.

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, 89653 + ... + 90571.

Almost surely, 2^82812928 is an apocalyptic number.

82812928 is a gapful number since it is divisible by the number (88) 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 82812928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90434160).

82812928 is an abundant number, since it is smaller than the sum of its proper divisors (98055392).

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

82812928 is an equidigital number, since it uses as much as digits as its factorization.

82812928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 956 (or 932 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The square root of 82812928 is about 9100.1608776988. The cubic root of 82812928 is about 435.8791012320.

Subtracting 82812928 from its reverse (82921828), we obtain a square (108900 = 330²).

The spelling of 82812928 in words is "eighty-two million, eight hundred twelve thousand, nine hundred twenty-eight".