28407647268 has 384 divisors, whose sum is σ = 100305838080. Its totient is φ = 6713280000.

The previous prime is 28407647249. The next prime is 28407647291. The reversal of 28407647268 is 86274670482.

It is a happy number.

28407647268 is a `hidden beast` number, since 2 + 8 + 40 + 76 + 472 + 68 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7673818 + ... + 7677518.

It is an arithmetic number, because the mean of its divisors is an integer number (261213120).

Almost surely, 2^28407647268 is an apocalyptic number.

28407647268 is a gapful number since it is divisible by the number (28) 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 28407647268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50152919040).

28407647268 is an abundant number, since it is smaller than the sum of its proper divisors (71898190812).

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

28407647268 is a wasteful number, since it uses less digits than its factorization.

28407647268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3816 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 28407647268 in words is "twenty-eight billion, four hundred seven million, six hundred forty-seven thousand, two hundred sixty-eight".