1975128792 has 128 divisors (see below), whose sum is σ = 6273576960. Its totient is φ = 504092160.

The previous prime is 1975128791. The next prime is 1975128797. The reversal of 1975128792 is 2978215791.

It is a super-2 number, since 2×1975128792² = 7802267489974758528, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1975128791) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53118 + ... + 82290.

It is an arithmetic number, because the mean of its divisors is an integer number (49012320).

Almost surely, 2^1975128792 is an apocalyptic number.

1975128792 is a gapful number since it is divisible by the number (12) 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 1975128792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3136788480).

1975128792 is an abundant number, since it is smaller than the sum of its proper divisors (4298448168).

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

1975128792 is a wasteful number, since it uses less digits than its factorization.

1975128792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29233 (or 29229 counting only the distinct ones).

The product of its digits is 635040, while the sum is 51.

The square root of 1975128792 is about 44442.4210861650. The cubic root of 1975128792 is about 1254.6766238249.

The spelling of 1975128792 in words is "one billion, nine hundred seventy-five million, one hundred twenty-eight thousand, seven hundred ninety-two".