28677412800 has 336 divisors, whose sum is σ = 105383096320. Its totient is φ = 7585643520.

The previous prime is 28677412789. The next prime is 28677412801. The reversal of 28677412800 is 821477682.

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 (28677412801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5483787 + ... + 5489013.

Almost surely, 2^28677412800 is an apocalyptic number.

28677412800 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 28677412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52691548160).

28677412800 is an abundant number, since it is smaller than the sum of its proper divisors (76705683520).

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

28677412800 is a wasteful number, since it uses less digits than its factorization.

28677412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385 (or 5364 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 28677412800 in words is "twenty-eight billion, six hundred seventy-seven million, four hundred twelve thousand, eight hundred".