128958736 has 45 divisors (see below), whose sum is σ = 267018469. Its totient is φ = 60323072.

The previous prime is 128958707. The next prime is 128958749. The reversal of 128958736 is 637859821.

The square root of 128958736 is 11356.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 100400400 + 28558336 = 10020^2 + 5344^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 128958736.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 772125 + ... + 772291.

Almost surely, 2^128958736 is an apocalyptic number.

128958736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

128958736 is the 11356-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128958736

128958736 is an abundant number, since it is smaller than the sum of its proper divisors (138059733).

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

128958736 is an equidigital number, since it uses as much as digits as its factorization.

128958736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 186 counting only the distinct ones).

The product of its digits is 725760, while the sum is 49.

The cubic root of 128958736 is about 505.2235536057.

Multiplying 128958736 by its sum of digits (49), we get a square (6318978064 = 79492²).

Subtracting from 128958736 its product of digits (725760), we obtain a square (128232976 = 11324²).

It can be divided in two parts, 1289 and 58736, that added together give a square (60025 = 245²).

The spelling of 128958736 in words is "one hundred twenty-eight million, nine hundred fifty-eight thousand, seven hundred thirty-six".