28711137799344 has 320 divisors, whose sum is σ = 99645502279680. Its totient is φ = 6879640642560.

The previous prime is 28711137799303. The next prime is 28711137799381. The reversal of 28711137799344 is 44399773111782.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79916787 + ... + 80275245.

It is an arithmetic number, because the mean of its divisors is an integer number (311392194624).

Almost surely, 2^{28711137799344} is an apocalyptic number.

28711137799344 is a gapful number since it is divisible by the number (24) 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 28711137799344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49822751139840).

28711137799344 is an abundant number, since it is smaller than the sum of its proper divisors (70934364480336).

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

28711137799344 is a wasteful number, since it uses less digits than its factorization.

28711137799344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360168 (or 360162 counting only the distinct ones).

The product of its digits is 64012032, while the sum is 66.

The spelling of 28711137799344 in words is "twenty-eight trillion, seven hundred eleven billion, one hundred thirty-seven million, seven hundred ninety-nine thousand, three hundred forty-four".