815948928 has 96 divisors (see below), whose sum is σ = 2357376060. Its totient is φ = 270895104.

The previous prime is 815948921. The next prime is 815948929. The reversal of 815948928 is 829849518.

815948928 is a `hidden beast` number, since 8 + 159 + 489 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 779079744 + 36869184 = 27912^2 + 6072^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (815948921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317826 + ... + 320382.

Almost surely, 2^815948928 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 815948928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178688030).

815948928 is an abundant number, since it is smaller than the sum of its proper divisors (1541427132).

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

815948928 is a wasteful number, since it uses less digits than its factorization.

815948928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2854 (or 2839 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 54.

The square root of 815948928 is about 28564.8197613778. The cubic root of 815948928 is about 934.4462497437.

The spelling of 815948928 in words is "eight hundred fifteen million, nine hundred forty-eight thousand, nine hundred twenty-eight".