128654400 has 252 divisors, whose sum is σ = 491904528. Its totient is φ = 29352960.

The previous prime is 128654363. The next prime is 128654437. The reversal of 128654400 is 4456821.

It is an interprime number because it is at equal distance from previous prime (128654363) and next prime (128654437).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 234927 + ... + 235473.

Almost surely, 2^128654400 is an apocalyptic number.

128654400 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 128654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245952264).

128654400 is an abundant number, since it is smaller than the sum of its proper divisors (363250128).

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

128654400 is a wasteful number, since it uses less digits than its factorization.

128654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 128654400 is about 11342.5922962963. The cubic root of 128654400 is about 504.8258066662.

The spelling of 128654400 in words is "one hundred twenty-eight million, six hundred fifty-four thousand, four hundred".