128876500 has 48 divisors (see below), whose sum is σ = 284081616. Its totient is φ = 51072000.

The previous prime is 128876483. The next prime is 128876509. The reversal of 128876500 is 5678821.

It can be written as a sum of positive squares in 8 ways, for example, as 76632516 + 52243984 = 8754^2 + 7228^2 .

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 128876500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128876509) 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 15 ways as a sum of consecutive naturals, for example, 55360 + ... + 57640.

It is an arithmetic number, because the mean of its divisors is an integer number (5918367).

Almost surely, 2^128876500 is an apocalyptic number.

128876500 is a gapful number since it is divisible by the number (10) 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 128876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142040808).

128876500 is an abundant number, since it is smaller than the sum of its proper divisors (155205116).

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

128876500 is a wasteful number, since it uses less digits than its factorization.

128876500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2413 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 37.

The square root of 128876500 is about 11352.3786053849. The cubic root of 128876500 is about 505.1161383707.

The spelling of 128876500 in words is "one hundred twenty-eight million, eight hundred seventy-six thousand, five hundred".