128825190 has 96 divisors (see below), whose sum is σ = 364553280. Its totient is φ = 31373568.

The previous prime is 128825183. The next prime is 128825227. The reversal of 128825190 is 91528821.

It is a super-2 number, since 2×128825190² = 33191859157072200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 119976 + ... + 121044.

It is an arithmetic number, because the mean of its divisors is an integer number (3797430).

Almost surely, 2^128825190 is an apocalyptic number.

128825190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128825190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182276640).

128825190 is an abundant number, since it is smaller than the sum of its proper divisors (235728090).

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

128825190 is a wasteful number, since it uses less digits than its factorization.

128825190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 128825190 is about 11350.1185015840. The cubic root of 128825190 is about 505.0490949884.

The spelling of 128825190 in words is "one hundred twenty-eight million, eight hundred twenty-five thousand, one hundred ninety".