28456676352 has 528 divisors, whose sum is σ = 96804431360. Its totient is φ = 8277147648.

The previous prime is 28456676323. The next prime is 28456676359. The reversal of 28456676352 is 25367665482.

28456676352 is a `hidden beast` number, since 2 + 8 + 4 + 566 + 76 + 3 + 5 + 2 = 666.

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 (28456676359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61461273 + ... + 61461735.

Almost surely, 2^28456676352 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 28456676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48402215680).

28456676352 is an abundant number, since it is smaller than the sum of its proper divisors (68347755008).

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

28456676352 is a wasteful number, since it uses less digits than its factorization.

28456676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 500 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 28456676352 in words is "twenty-eight billion, four hundred fifty-six million, six hundred seventy-six thousand, three hundred fifty-two".