28658259609408 has 1344 divisors, whose sum is σ = 103432870404864. Its totient is φ = 7453016064000.

The previous prime is 28658259609383. The next prime is 28658259609433. The reversal of 28658259609408 is 80490695285682.

28658259609408 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 8 + 2 + 5 + 9 + 609 + 4 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28658259609383) and next prime (28658259609433).

It is a super-2 number, since 2×28658259609408² (a number of 28 digits) contains 22 as substring.

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

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, 55006256188 + ... + 55006256708.

It is an arithmetic number, because the mean of its divisors is an integer number (76958980956).

Almost surely, 2^{28658259609408} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28658259609408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51716435202432).

28658259609408 is an abundant number, since it is smaller than the sum of its proper divisors (74774610795456).

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

28658259609408 is a wasteful number, since it uses less digits than its factorization.

28658259609408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 971 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 28658259609408 in words is "twenty-eight trillion, six hundred fifty-eight billion, two hundred fifty-nine million, six hundred nine thousand, four hundred eight".