28733764752 has 960 divisors, whose sum is σ = 114318397440. Its totient is φ = 6502809600.

The previous prime is 28733764729. The next prime is 28733764777. The reversal of 28733764752 is 25746733782.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (11854080) is a multiple of the sum of its prime factors (252).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 254281048 + ... + 254281160.

It is an arithmetic number, because the mean of its divisors is an integer number (119081664).

Almost surely, 2^28733764752 is an apocalyptic number.

28733764752 is a gapful number since it is divisible by the number (22) 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 28733764752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57159198720).

28733764752 is an abundant number, since it is smaller than the sum of its proper divisors (85584632688).

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

28733764752 is a wasteful number, since it uses less digits than its factorization.

28733764752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 243 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 28733764752 in words is "twenty-eight billion, seven hundred thirty-three million, seven hundred sixty-four thousand, seven hundred fifty-two".