28745466624 has 540 divisors, whose sum is σ = 105026136600. Its totient is φ = 7775502336.

The previous prime is 28745466599. The next prime is 28745466667. The reversal of 28745466624 is 42666454782.

It is a happy number.

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

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 19304472 + ... + 19305960.

Almost surely, 2^28745466624 is an apocalyptic number.

28745466624 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 28745466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52513068300).

28745466624 is an abundant number, since it is smaller than the sum of its proper divisors (76280669976).

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

28745466624 is a wasteful number, since it uses less digits than its factorization.

28745466624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1520 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 54.

The spelling of 28745466624 in words is "twenty-eight billion, seven hundred forty-five million, four hundred sixty-six thousand, six hundred twenty-four".