13977028400 has 60 divisors (see below), whose sum is σ = 33650376000. Its totient is φ = 5579063040.

The previous prime is 13977028381. The next prime is 13977028441. The reversal of 13977028400 is 482077931.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155126 + ... + 228074.

It is an arithmetic number, because the mean of its divisors is an integer number (560839600).

Almost surely, 2^13977028400 is an apocalyptic number.

13977028400 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 13977028400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16825188000).

13977028400 is an abundant number, since it is smaller than the sum of its proper divisors (19673347600).

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

13977028400 is a wasteful number, since it uses less digits than its factorization.

13977028400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73446 (or 73435 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 13977028400 in words is "thirteen billion, nine hundred seventy-seven million, twenty-eight thousand, four hundred".