28135362528 has 768 divisors, whose sum is σ = 105557760000. Its totient is φ = 7242504192.

The previous prime is 28135362527. The next prime is 28135362539. The reversal of 28135362528 is 82526353182.

28135362528 is a `hidden beast` number, since 2 + 8 + 13 + 5 + 3 + 625 + 2 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28135362527) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 258122538 + ... + 258122646.

It is an arithmetic number, because the mean of its divisors is an integer number (137445000).

Almost surely, 2^28135362528 is an apocalyptic number.

28135362528 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 28135362528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52778880000).

28135362528 is an abundant number, since it is smaller than the sum of its proper divisors (77422397472).

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

28135362528 is a wasteful number, since it uses less digits than its factorization.

28135362528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 28135362528 in words is "twenty-eight billion, one hundred thirty-five million, three hundred sixty-two thousand, five hundred twenty-eight".