28734963840 has 672 divisors, whose sum is σ = 113431430700. Its totient is φ = 6952366080.

The previous prime is 28734963821. The next prime is 28734963853. The reversal of 28734963840 is 4836943782.

28734963840 is a `hidden beast` number, since 2 + 8 + 73 + 496 + 3 + 84 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28458340416 + 276623424 = 168696^2 + 16632^2 .

It is a super-2 number, since 2×28734963840² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 56453506 + ... + 56454014.

Almost surely, 2^28734963840 is an apocalyptic number.

28734963840 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 28734963840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56715715350).

28734963840 is an abundant number, since it is smaller than the sum of its proper divisors (84696466860).

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

28734963840 is an equidigital number, since it uses as much as digits as its factorization.

28734963840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 28734963840 in words is "twenty-eight billion, seven hundred thirty-four million, nine hundred sixty-three thousand, eight hundred forty".