28734652800 has 576 divisors, whose sum is σ = 121542220800. Its totient is φ = 6566676480.

The previous prime is 28734652783. The next prime is 28734652801. The reversal of 28734652800 is 825643782.

28734652800 is a `hidden beast` number, since 2 + 87 + 3 + 46 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28734652801) 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 71 ways as a sum of consecutive naturals, for example, 5440561 + ... + 5445839.

It is an arithmetic number, because the mean of its divisors is an integer number (211010800).

Almost surely, 2^28734652800 is an apocalyptic number.

28734652800 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 28734652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60771110400).

28734652800 is an abundant number, since it is smaller than the sum of its proper divisors (92807568000).

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

28734652800 is an equidigital number, since it uses as much as digits as its factorization.

28734652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5325 (or 5296 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 28734652800 in words is "twenty-eight billion, seven hundred thirty-four million, six hundred fifty-two thousand, eight hundred".