828037580 has 48 divisors (see below), whose sum is σ = 1802183040. Its totient is φ = 319200000.

The previous prime is 828037549. The next prime is 828037601. The reversal of 828037580 is 85730828.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 434630 + ... + 436530.

It is an arithmetic number, because the mean of its divisors is an integer number (37545480).

Almost surely, 2^828037580 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 828037580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901091520).

828037580 is an abundant number, since it is smaller than the sum of its proper divisors (974145460).

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

828037580 is a wasteful number, since it uses less digits than its factorization.

828037580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 41.

The square root of 828037580 is about 28775.6421301072. The cubic root of 828037580 is about 939.0383934175.

The spelling of 828037580 in words is "eight hundred twenty-eight million, thirty-seven thousand, five hundred eighty".