28291564224 has 896 divisors, whose sum is σ = 112985702400. Its totient is φ = 6737126400.

The previous prime is 28291564219. The next prime is 28291564229. The reversal of 28291564224 is 42246519282.

28291564224 is a `hidden beast` number, since 2 + 82 + 9 + 1 + 564 + 2 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (28291564219) and next prime (28291564229).

It is a self number, because there is not a number n which added to its sum of digits gives 28291564224.

It is not an unprimeable number, because it can be changed into a prime (28291564229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 912631089 + ... + 912631119.

Almost surely, 2^28291564224 is an apocalyptic number.

28291564224 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 28291564224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56492851200).

28291564224 is an abundant number, since it is smaller than the sum of its proper divisors (84694138176).

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

28291564224 is a wasteful number, since it uses less digits than its factorization.

28291564224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 73 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The spelling of 28291564224 in words is "twenty-eight billion, two hundred ninety-one million, five hundred sixty-four thousand, two hundred twenty-four".