13400928 has 144 divisors (see below), whose sum is σ = 41932800. Its totient is φ = 4043520.

The previous prime is 13400923. The next prime is 13400951. The reversal of 13400928 is 82900431.

13400928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×13400928² = 359169742522368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169593 + ... + 169671.

It is an arithmetic number, because the mean of its divisors is an integer number (291200).

Almost surely, 2^13400928 is an apocalyptic number.

13400928 is a gapful number since it is divisible by the number (18) 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 13400928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20966400).

13400928 is an abundant number, since it is smaller than the sum of its proper divisors (28531872).

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

13400928 is a wasteful number, since it uses less digits than its factorization.

13400928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13400928 is about 3660.7277964907. The cubic root of 13400928 is about 237.5262567462.

The spelling of 13400928 in words is "thirteen million, four hundred thousand, nine hundred twenty-eight".