28475755728 has 320 divisors, whose sum is σ = 90327552000. Its totient is φ = 7711925760.

The previous prime is 28475755727. The next prime is 28475755757. The reversal of 28475755728 is 82755757482.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28475755727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 52635138 + ... + 52635678.

It is an arithmetic number, because the mean of its divisors is an integer number (282273600).

Almost surely, 2^28475755728 is an apocalyptic number.

28475755728 is a gapful number since it is divisible by the number (28) 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 28475755728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45163776000).

28475755728 is an abundant number, since it is smaller than the sum of its proper divisors (61851796272).

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

28475755728 is a wasteful number, since it uses less digits than its factorization.

28475755728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 715 counting only the distinct ones).

The product of its digits is 43904000, while the sum is 60.

It can be divided in two parts, 2847 and 5755728, that added together give a palindrome (5758575).

The spelling of 28475755728 in words is "twenty-eight billion, four hundred seventy-five million, seven hundred fifty-five thousand, seven hundred twenty-eight".