13628614272 has 384 divisors, whose sum is σ = 47187648000. Its totient is φ = 3403026432.

The previous prime is 13628614267. The next prime is 13628614273. The reversal of 13628614272 is 27241682631.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13628614273) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8630379 + ... + 8631957.

It is an arithmetic number, because the mean of its divisors is an integer number (122884500).

Almost surely, 2^13628614272 is an apocalyptic number.

13628614272 is a gapful number since it is divisible by the number (12) 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 13628614272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23593824000).

13628614272 is an abundant number, since it is smaller than the sum of its proper divisors (33559033728).

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

13628614272 is a wasteful number, since it uses less digits than its factorization.

13628614272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1623 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The spelling of 13628614272 in words is "thirteen billion, six hundred twenty-eight million, six hundred fourteen thousand, two hundred seventy-two".