13928720400 has 405 divisors, whose sum is σ = 56429019543. Its totient is φ = 3172377600.

The previous prime is 13928720363. The next prime is 13928720461. The reversal of 13928720400 is 402782931.

The square root of 13928720400 is 118020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 19820304 + 13908900096 = 4452^2 + 117936^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 49568260 + ... + 49568540.

Almost surely, 2^13928720400 is an apocalyptic number.

13928720400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13928720400 is the 118020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13928720400

13928720400 is an abundant number, since it is smaller than the sum of its proper divisors (42500299143).

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

13928720400 is a wasteful number, since it uses less digits than its factorization.

13928720400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 13928720400 by its sum of digits (36), we get a square (501433934400 = 708120²).

13928720400 divided by its sum of digits (36) gives a square (386908900 = 19670²).

The spelling of 13928720400 in words is "thirteen billion, nine hundred twenty-eight million, seven hundred twenty thousand, four hundred".