28258934538240 has 3240 divisors, whose sum is σ = 125720723124360. Its totient is φ = 6067901693952.

The previous prime is 28258934538239. The next prime is 28258934538253. The reversal of 28258934538240 is 4283543985282.

28258934538240 is a `hidden beast` number, since 2 + 8 + 2 + 5 + 8 + 93 + 4 + 538 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8011526455296 + 20247408082944 = 2830464^2 + 4499712^2 .

It is a tau number, because it is divible by the number of its divisors (3240).

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 215 ways as a sum of consecutive naturals, for example, 763754987502 + ... + 763754987538.

Almost surely, 2^{28258934538240} is an apocalyptic number.

28258934538240 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 28258934538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62860361562180).

28258934538240 is an abundant number, since it is smaller than the sum of its proper divisors (97461788586120).

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

28258934538240 is an frugal number, since it uses more digits than its factorization.

28258934538240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 132710400, while the sum is 63.

The spelling of 28258934538240 in words is "twenty-eight trillion, two hundred fifty-eight billion, nine hundred thirty-four million, five hundred thirty-eight thousand, two hundred forty".