128590420 has 48 divisors (see below), whose sum is σ = 313246080. Its totient is φ = 43426944.

The previous prime is 128590409. The next prime is 128590463. The reversal of 128590420 is 24095821.

It is a super-2 number, since 2×128590420² = 33070992231552800, 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 15 ways as a sum of consecutive naturals, for example, 2526 + ... + 16234.

It is an arithmetic number, because the mean of its divisors is an integer number (6525960).

Almost surely, 2^128590420 is an apocalyptic number.

128590420 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 128590420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156623040).

128590420 is an abundant number, since it is smaller than the sum of its proper divisors (184655660).

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

128590420 is a wasteful number, since it uses less digits than its factorization.

128590420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13792 (or 13790 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 128590420 is about 11339.7716026382. The cubic root of 128590420 is about 504.7421092809.

The spelling of 128590420 in words is "one hundred twenty-eight million, five hundred ninety thousand, four hundred twenty".