28675256337000 has 2304 divisors, whose sum is σ = 125940255667200. Its totient is φ = 6015302092800.

The previous prime is 28675256336989. The next prime is 28675256337001. The reversal of 28675256337000 is 73365257682.

It is a happy number.

28675256337000 is a `hidden beast` number, since 2 + 8 + 6 + 7 + 5 + 2 + 563 + 3 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28675256337001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 61933598769 + ... + 61933599231.

It is an arithmetic number, because the mean of its divisors is an integer number (54661569300).

Almost surely, 2^{28675256337000} is an apocalyptic number.

28675256337000 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 28675256337000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62970127833600).

28675256337000 is an abundant number, since it is smaller than the sum of its proper divisors (97264999330200).

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

28675256337000 is a wasteful number, since it uses less digits than its factorization.

28675256337000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 54.

The spelling of 28675256337000 in words is "twenty-eight trillion, six hundred seventy-five billion, two hundred fifty-six million, three hundred thirty-seven thousand".