816893028 has 144 divisors (see below), whose sum is σ = 2483260416. Its totient is φ = 221495040.

The previous prime is 816893017. The next prime is 816893039. The reversal of 816893028 is 820398618.

It is an interprime number because it is at equal distance from previous prime (816893017) and next prime (816893039).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413050 + ... + 415022.

It is an arithmetic number, because the mean of its divisors is an integer number (17244864).

Almost surely, 2^816893028 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 816893028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241630208).

816893028 is an abundant number, since it is smaller than the sum of its proper divisors (1666367388).

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

816893028 is a wasteful number, since it uses less digits than its factorization.

816893028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2074 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 816893028 is about 28581.3405563840. The cubic root of 816893028 is about 934.8065135773.

The spelling of 816893028 in words is "eight hundred sixteen million, eight hundred ninety-three thousand, twenty-eight".