812888928 has 72 divisors (see below), whose sum is σ = 2349599616. Its totient is φ = 266515200.

The previous prime is 812888893. The next prime is 812888939. The reversal of 812888928 is 829888218.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5568 + ... + 40703.

It is an arithmetic number, because the mean of its divisors is an integer number (32633328).

Almost surely, 2^812888928 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 812888928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174799808).

812888928 is an abundant number, since it is smaller than the sum of its proper divisors (1536710688).

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

812888928 is a wasteful number, since it uses less digits than its factorization.

812888928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46348 (or 46337 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 54.

The square root of 812888928 is about 28511.2070596809. The cubic root of 812888928 is about 933.2766555152.

The spelling of 812888928 in words is "eight hundred twelve million, eight hundred eighty-eight thousand, nine hundred twenty-eight".