7972008288 has 96 divisors (see below), whose sum is σ = 23120971776. Its totient is φ = 2392270848.

The previous prime is 7972008287. The next prime is 7972008361. The reversal of 7972008288 is 8828002797.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×7972008288⁴ (a number of 41 digits) contains 4444 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 (51).

It is a self number, because there is not a number n which added to its sum of digits gives 7972008288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7972008281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68656 + ... + 143727.

It is an arithmetic number, because the mean of its divisors is an integer number (240843456).

Almost surely, 2^7972008288 is an apocalyptic number.

It is an amenable number.

7972008288 is an abundant number, since it is smaller than the sum of its proper divisors (15148963488).

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

7972008288 is a wasteful number, since it uses less digits than its factorization.

7972008288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212436 (or 212428 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 7972008288 is about 89286.1035548086. The cubic root of 7972008288 is about 1997.6646314215.

The spelling of 7972008288 in words is "seven billion, nine hundred seventy-two million, eight thousand, two hundred eighty-eight".