28074412800 has 972 divisors, whose sum is σ = 121138027920. Its totient is φ = 6195732480.

The previous prime is 28074412763. The next prime is 28074412801. The reversal of 28074412800 is 821447082.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (28074412801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 968083186 + ... + 968083214.

Almost surely, 2^28074412800 is an apocalyptic number.

28074412800 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 28074412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60569013960).

28074412800 is an abundant number, since it is smaller than the sum of its proper divisors (93063615120).

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

28074412800 is an frugal number, since it uses more digits than its factorization.

28074412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 28074412800 its reverse (821447082), we get a palindrome (28895859882).

The spelling of 28074412800 in words is "twenty-eight billion, seventy-four million, four hundred twelve thousand, eight hundred".