815517000828 has 192 divisors, whose sum is σ = 2357619264000. Its totient is φ = 242267563008.

The previous prime is 815517000799. The next prime is 815517000833. The reversal of 815517000828 is 828000715518.

815517000828 is a `hidden beast` number, since 8 + 1 + 551 + 70 + 0 + 0 + 8 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98333850 + ... + 98342142.

It is an arithmetic number, because the mean of its divisors is an integer number (12279267000).

Almost surely, 2^815517000828 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 815517000828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178809632000).

815517000828 is an abundant number, since it is smaller than the sum of its proper divisors (1542102263172).

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

815517000828 is a wasteful number, since it uses less digits than its factorization.

815517000828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11161 (or 11153 counting only the distinct ones).

The product of its (nonzero) digits is 179200, while the sum is 45.

The spelling of 815517000828 in words is "eight hundred fifteen billion, five hundred seventeen million, eight hundred twenty-eight", and thus it is an aban number.