815144928 has 192 divisors, whose sum is σ = 2402426880. Its totient is φ = 240371712.

The previous prime is 815144927. The next prime is 815144933. The reversal of 815144928 is 829441518.

It is a super-2 number, since 2×815144928² = 1328922507288250368, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 815144928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (815144921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5864283 + ... + 5864421.

It is an arithmetic number, because the mean of its divisors is an integer number (12512640).

Almost surely, 2^815144928 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 815144928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201213440).

815144928 is an abundant number, since it is smaller than the sum of its proper divisors (1587281952).

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

815144928 is a wasteful number, since it uses less digits than its factorization.

815144928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 321 counting only the distinct ones).

The product of its digits is 92160, while the sum is 42.

The square root of 815144928 is about 28550.7430376164. The cubic root of 815144928 is about 934.1392282057.

The spelling of 815144928 in words is "eight hundred fifteen million, one hundred forty-four thousand, nine hundred twenty-eight".