128792352 has 96 divisors (see below), whose sum is σ = 375943680. Its totient is φ = 38338560.

The previous prime is 128792347. The next prime is 128792359. The reversal of 128792352 is 253297821.

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

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 128792352.

It is not an unprimeable number, because it can be changed into a prime (128792359) 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, 37024 + ... + 40352.

It is an arithmetic number, because the mean of its divisors is an integer number (3916080).

Almost surely, 2^128792352 is an apocalyptic number.

128792352 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 128792352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187971840).

128792352 is an abundant number, since it is smaller than the sum of its proper divisors (247151328).

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

128792352 is a wasteful number, since it uses less digits than its factorization.

128792352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3378 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 128792352 is about 11348.6718165607. The cubic root of 128792352 is about 505.0061784036.

It can be divided in two parts, 1287 and 92352, that added together give a palindrome (93639).

The spelling of 128792352 in words is "one hundred twenty-eight million, seven hundred ninety-two thousand, three hundred fifty-two".