128693400 has 384 divisors, whose sum is σ = 488540160. Its totient is φ = 27648000.

The previous prime is 128693359. The next prime is 128693407. The reversal of 128693400 is 4396821.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128693407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3478182 + ... + 3478218.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 2^128693400 is an apocalyptic number.

128693400 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 128693400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

128693400 is an abundant number, since it is smaller than the sum of its proper divisors (359846760).

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

128693400 is a wasteful number, since it uses less digits than its factorization.

128693400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 128693400 is about 11344.3113497471. The cubic root of 128693400 is about 504.8768120921.

The spelling of 128693400 in words is "one hundred twenty-eight million, six hundred ninety-three thousand, four hundred".