972028080 has 160 divisors (see below), whose sum is σ = 3358118400. Its totient is φ = 258432768.

The previous prime is 972028051. The next prime is 972028081. The reversal of 972028080 is 80820279.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (972028081) 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 31 ways as a sum of consecutive naturals, for example, 1336677 + ... + 1337403.

It is an arithmetic number, because the mean of its divisors is an integer number (20988240).

Almost surely, 2^972028080 is an apocalyptic number.

972028080 is a gapful number since it is divisible by the number (90) 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 972028080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679059200).

972028080 is an abundant number, since it is smaller than the sum of its proper divisors (2386090320).

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

972028080 is a wasteful number, since it uses less digits than its factorization.

972028080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 972028080 is about 31177.3648661974. The cubic root of 972028080 is about 990.5877134775.

The spelling of 972028080 in words is "nine hundred seventy-two million, twenty-eight thousand, eighty".