13427000928 has 288 divisors, whose sum is σ = 45630617760. Its totient is φ = 3696967680.

The previous prime is 13427000893. The next prime is 13427000941. The reversal of 13427000928 is 82900072431.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×13427000928² (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13427000892 and 13427000901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1557526 + ... + 1566122.

It is an arithmetic number, because the mean of its divisors is an integer number (158439645).

Almost surely, 2^13427000928 is an apocalyptic number.

13427000928 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 13427000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22815308880).

13427000928 is an abundant number, since it is smaller than the sum of its proper divisors (32203616832).

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

13427000928 is a wasteful number, since it uses less digits than its factorization.

13427000928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8670 (or 8659 counting only the distinct ones).

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

The spelling of 13427000928 in words is "thirteen billion, four hundred twenty-seven million, nine hundred twenty-eight", and thus it is an aban number.