128390400 has 216 divisors, whose sum is σ = 471428160. Its totient is φ = 34191360.

The previous prime is 128390371. The next prime is 128390411. The reversal of 128390400 is 4093821.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172429 + ... + 173171.

Almost surely, 2^128390400 is an apocalyptic number.

128390400 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 128390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235714080).

128390400 is an abundant number, since it is smaller than the sum of its proper divisors (343037760).

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

128390400 is an equidigital number, since it uses as much as digits as its factorization.

128390400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 128390400 is about 11330.9487687484. The cubic root of 128390400 is about 504.4802678251.

The spelling of 128390400 in words is "one hundred twenty-eight million, three hundred ninety thousand, four hundred".