872399528 has 192 divisors, whose sum is σ = 2275257600. Its totient is φ = 308206080.

The previous prime is 872399513. The next prime is 872399531. The reversal of 872399528 is 825993278.

It is a super-2 number, since 2×872399528² = 1522161872909245568, which contains 22 as substring.

Its product of digits (2177280) is a multiple of the sum of its prime factors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 872399528.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4428326 + ... + 4428522.

It is an arithmetic number, because the mean of its divisors is an integer number (11850300).

Almost surely, 2^872399528 is an apocalyptic number.

872399528 is a gapful number since it is divisible by the number (88) 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 872399528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1137628800).

872399528 is an abundant number, since it is smaller than the sum of its proper divisors (1402858072).

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

872399528 is a wasteful number, since it uses less digits than its factorization.

872399528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 309 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 53.

The square root of 872399528 is about 29536.4102084190. The cubic root of 872399528 is about 955.5171227817.

The spelling of 872399528 in words is "eight hundred seventy-two million, three hundred ninety-nine thousand, five hundred twenty-eight".