15728420400 has 1440 divisors, whose sum is σ = 72505835520. Its totient is φ = 2820096000.

The previous prime is 15728420387. The next prime is 15728420429. The reversal of 15728420400 is 402482751.

15728420400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 507368385 + ... + 507368415.

Almost surely, 2^15728420400 is an apocalyptic number.

15728420400 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 15728420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36252917760).

15728420400 is an abundant number, since it is smaller than the sum of its proper divisors (56777415120).

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

15728420400 is a wasteful number, since it uses less digits than its factorization.

15728420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 15728420400 in words is "fifteen billion, seven hundred twenty-eight million, four hundred twenty thousand, four hundred".