28675886012928 has 720 divisors, whose sum is σ = 107863912892736. Its totient is φ = 7124397096960.

The previous prime is 28675886012923. The next prime is 28675886012959. The reversal of 28675886012928 is 82921068857682.

It is a happy number.

28675886012928 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 5 + 8 + 8 + 601 + 2 + 9 + 2 + 8 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (28675886012923) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187621276 + ... + 187774052.

Almost surely, 2^{28675886012928} is an apocalyptic number.

28675886012928 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 28675886012928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53931956446368).

28675886012928 is an abundant number, since it is smaller than the sum of its proper divisors (79188026879808).

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

28675886012928 is a wasteful number, since it uses less digits than its factorization.

28675886012928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152865 (or 152823 counting only the distinct ones).

The product of its (nonzero) digits is 371589120, while the sum is 72.

The spelling of 28675886012928 in words is "twenty-eight trillion, six hundred seventy-five billion, eight hundred eighty-six million, twelve thousand, nine hundred twenty-eight".