831728400 has 120 divisors (see below), whose sum is σ = 2821096224. Its totient is φ = 208742400.

The previous prime is 831728393. The next prime is 831728411. The reversal of 831728400 is 4827138.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15 + ... + 40785.

Almost surely, 2^831728400 is an apocalyptic number.

831728400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1410548112).

831728400 is an abundant number, since it is smaller than the sum of its proper divisors (1989367824).

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

831728400 is a wasteful number, since it uses less digits than its factorization.

831728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40809 (or 40798 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 831728400 is about 28839.7018015097. The cubic root of 831728400 is about 940.4315206003.

The spelling of 831728400 in words is "eight hundred thirty-one million, seven hundred twenty-eight thousand, four hundred".