872406288 has 200 divisors, whose sum is σ = 2773369368. Its totient is φ = 263098368.

The previous prime is 872406287. The next prime is 872406319. The reversal of 872406288 is 882604278.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 258952464 + 613453824 = 16092^2 + 24768^2 .

It is a super-2 number, since 2×872406288² = 1522185462683877888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (872406281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 892456 + ... + 893432.

Almost surely, 2^872406288 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 872406288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386684684).

872406288 is an abundant number, since it is smaller than the sum of its proper divisors (1900963080).

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

872406288 is a wasteful number, since it uses less digits than its factorization.

872406288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 872406288 is about 29536.5246432277. The cubic root of 872406288 is about 955.5195907943.

It can be divided in two parts, 87240 and 6288, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 872406288 in words is "eight hundred seventy-two million, four hundred six thousand, two hundred eighty-eight".