8972288 has 48 divisors (see below), whose sum is σ = 19377540. Its totient is φ = 4128768.

The previous prime is 8972287. The next prime is 8972291. The reversal of 8972288 is 8822798.

It can be written as a sum of positive squares in 2 ways, for example, as 8111104 + 861184 = 2848^2 + 928^2 .

It is a d-powerful number, because it can be written as 8⁶ + 9⁵ + 7³ + 2²¹ + 2²² + 8⁶ + 8⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8972287) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26456 + ... + 26792.

Almost surely, 2^8972288 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 8972288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688770).

8972288 is an abundant number, since it is smaller than the sum of its proper divisors (10405252).

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

8972288 is a wasteful number, since it uses less digits than its factorization.

8972288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 352 counting only the distinct ones).

The product of its digits is 129024, while the sum is 44.

The square root of 8972288 is about 2995.3777725022. The cubic root of 8972288 is about 207.7946691656.

The spelling of 8972288 in words is "eight million, nine hundred seventy-two thousand, two hundred eighty-eight".