28564734240 has 720 divisors, whose sum is σ = 121134714624. Its totient is φ = 6314112000.

The previous prime is 28564734227. The next prime is 28564734269. The reversal of 28564734240 is 4243746582.

It is a happy number.

28564734240 is a `hidden beast` number, since 2 + 8 + 564 + 7 + 3 + 42 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 19685515 + ... + 19686965.

Almost surely, 2^28564734240 is an apocalyptic number.

28564734240 is a gapful number since it is divisible by the number (20) 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 28564734240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60567357312).

28564734240 is an abundant number, since it is smaller than the sum of its proper divisors (92569980384).

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

28564734240 is a wasteful number, since it uses less digits than its factorization.

28564734240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1523 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 28564734240 in words is "twenty-eight billion, five hundred sixty-four million, seven hundred thirty-four thousand, two hundred forty".