812828928 has 72 divisors (see below), whose sum is σ = 2233159936. Its totient is φ = 262195200.

The previous prime is 812828927. The next prime is 812828953. The reversal of 812828928 is 829828218.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812828927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6738 + ... + 40878.

Almost surely, 2^812828928 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 812828928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116579968).

812828928 is an abundant number, since it is smaller than the sum of its proper divisors (1420331008).

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

812828928 is a wasteful number, since it uses less digits than its factorization.

812828928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34191 (or 34177 counting only the distinct ones).

The product of its digits is 294912, while the sum is 48.

The square root of 812828928 is about 28510.1548224488. The cubic root of 812828928 is about 933.2536929778.

The spelling of 812828928 in words is "eight hundred twelve million, eight hundred twenty-eight thousand, nine hundred twenty-eight".