13628366202924 has 720 divisors, whose sum is σ = 41955918681600. Its totient is φ = 3841113830400.

The previous prime is 13628366202887. The next prime is 13628366202929. The reversal of 13628366202924 is 42920266382631.

13628366202924 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 8 + 3 + 6 + 620 + 2 + 9 + 2 + 4 = 666.

It is a super-2 number, since 2×13628366202924² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (13628366202929) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27984324609 + ... + 27984325095.

It is an arithmetic number, because the mean of its divisors is an integer number (58272109280).

Almost surely, 2^{13628366202924} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13628366202924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20977959340800).

13628366202924 is an abundant number, since it is smaller than the sum of its proper divisors (28327552478676).

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

13628366202924 is a wasteful number, since it uses less digits than its factorization.

13628366202924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 54.

The spelling of 13628366202924 in words is "thirteen trillion, six hundred twenty-eight billion, three hundred sixty-six million, two hundred two thousand, nine hundred twenty-four".