28742129115360 has 96 divisors (see below), whose sum is σ = 90540927338400. Its totient is φ = 7664295118848.

The previous prime is 28742129115263. The next prime is 28742129115361. The reversal of 28742129115360 is 6351192124782.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×28742129115360² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28742129115361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12625866 + ... + 14727414.

It is an arithmetic number, because the mean of its divisors is an integer number (943134659775).

It is a 1-persistent number, because it is pandigital, but 2⋅28742129115360 = 57484258230720 is not.

Almost surely, 2^{28742129115360} is an apocalyptic number.

28742129115360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28742129115360 is an abundant number, since it is smaller than the sum of its proper divisors (61798798223040).

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

28742129115360 is a wasteful number, since it uses less digits than its factorization.

28742129115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2130060 (or 2130052 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 28742129115360 in words is "twenty-eight trillion, seven hundred forty-two billion, one hundred twenty-nine million, one hundred fifteen thousand, three hundred sixty".