28963601568 has 504 divisors, whose sum is σ = 97297216128. Its totient is φ = 8468064000.

The previous prime is 28963601543. The next prime is 28963601593. The reversal of 28963601568 is 86510636982.

It is a happy number.

28963601568 is a `hidden beast` number, since 28 + 9 + 6 + 3 + 601 + 5 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (28963601543) and next prime (28963601593).

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 87503163 + ... + 87503493.

It is an arithmetic number, because the mean of its divisors is an integer number (193050032).

Almost surely, 2^28963601568 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 28963601568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48648608064).

28963601568 is an abundant number, since it is smaller than the sum of its proper divisors (68333614560).

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

28963601568 is a wasteful number, since it uses less digits than its factorization.

28963601568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 28963601568 in words is "twenty-eight billion, nine hundred sixty-three million, six hundred one thousand, five hundred sixty-eight".