28595374617600 has 2112 divisors, whose sum is σ = 123299489280000. Its totient is φ = 6359429283840.

The previous prime is 28595374617529. The next prime is 28595374617617. The reversal of 28595374617600 is 671647359582.

28595374617600 is a `hidden beast` number, since 2 + 8 + 5 + 9 + 5 + 3 + 7 + 4 + 6 + 17 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31115749941 + ... + 31115750859.

It is an arithmetic number, because the mean of its divisors is an integer number (58380440000).

It is a 1-persistent number, because it is pandigital, but 2⋅28595374617600 = 57190749235200 is not.

Almost surely, 2^{28595374617600} is an apocalyptic number.

28595374617600 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 28595374617600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61649744640000).

28595374617600 is an abundant number, since it is smaller than the sum of its proper divisors (94704114662400).

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

28595374617600 is a wasteful number, since it uses less digits than its factorization.

28595374617600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1104 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 28595374617600 in words is "twenty-eight trillion, five hundred ninety-five billion, three hundred seventy-four million, six hundred seventeen thousand, six hundred".