872620728 has 128 divisors (see below), whose sum is σ = 2594457600. Its totient is φ = 239376384.

The previous prime is 872620687. The next prime is 872620741. The reversal of 872620728 is 827026278.

It is a super-3 number, since 3×872620728³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 872620728.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490176 + ... + 491952.

It is an arithmetic number, because the mean of its divisors is an integer number (20269200).

Almost surely, 2^872620728 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 872620728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1297228800).

872620728 is an abundant number, since it is smaller than the sum of its proper divisors (1721836872).

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

872620728 is a wasteful number, since it uses less digits than its factorization.

872620728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 872620728 is about 29540.1545019656. The cubic root of 872620728 is about 955.5978742110.

The spelling of 872620728 in words is "eight hundred seventy-two million, six hundred twenty thousand, seven hundred twenty-eight".