28934535168 has 1152 divisors, whose sum is σ = 116520768000. Its totient is φ = 6688604160.

The previous prime is 28934535137. The next prime is 28934535191. The reversal of 28934535168 is 86153543982.

28934535168 is a `hidden beast` number, since 2 + 8 + 93 + 4 + 535 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

Its product of digits (6220800) is a multiple of the sum of its prime divisors (108).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 782014446 + ... + 782014482.

It is an arithmetic number, because the mean of its divisors is an integer number (101146500).

Almost surely, 2^28934535168 is an apocalyptic number.

28934535168 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 28934535168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58260384000).

28934535168 is an abundant number, since it is smaller than the sum of its proper divisors (87586232832).

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

28934535168 is a wasteful number, since it uses less digits than its factorization.

28934535168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 28934535168 in words is "twenty-eight billion, nine hundred thirty-four million, five hundred thirty-five thousand, one hundred sixty-eight".