128974944 has 96 divisors (see below), whose sum is σ = 393603840. Its totient is φ = 36214272.

The previous prime is 128974927. The next prime is 128974957. The reversal of 128974944 is 449479821.

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 (48).

It is a junction number, because it is equal to n+sod(n) for n = 128974893 and 128974902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38022 + ... + 41274.

It is an arithmetic number, because the mean of its divisors is an integer number (4100040).

Almost surely, 2^128974944 is an apocalyptic number.

128974944 is a gapful number since it is divisible by the number (14) 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 128974944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196801920).

128974944 is an abundant number, since it is smaller than the sum of its proper divisors (264628896).

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

128974944 is a wasteful number, since it uses less digits than its factorization.

128974944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3324 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The square root of 128974944 is about 11356.7136091389. The cubic root of 128974944 is about 505.2447188264.

The spelling of 128974944 in words is "one hundred twenty-eight million, nine hundred seventy-four thousand, nine hundred forty-four".