28059744600 has 576 divisors, whose sum is σ = 103668364800. Its totient is φ = 7041323520.

The previous prime is 28059744589. The next prime is 28059744611. The reversal of 28059744600 is 644795082.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28059744589) and next prime (28059744611).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60603969 + ... + 60604431.

It is an arithmetic number, because the mean of its divisors is an integer number (179979800).

Almost surely, 2^28059744600 is an apocalyptic number.

28059744600 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 28059744600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51834182400).

28059744600 is an abundant number, since it is smaller than the sum of its proper divisors (75608620200).

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

28059744600 is a wasteful number, since it uses less digits than its factorization.

28059744600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 28059744600 in words is "twenty-eight billion, fifty-nine million, seven hundred forty-four thousand, six hundred".