28954513152 has 432 divisors, whose sum is σ = 94214746080. Its totient is φ = 8740601856.

The previous prime is 28954513139. The next prime is 28954513177. The reversal of 28954513152 is 25131545982.

28954513152 is a `hidden beast` number, since 2 + 89 + 5 + 4 + 513 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a junction number, because it is equal to n+sod(n) for n = 28954513098 and 28954513107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 98820718 + ... + 98821010.

It is an arithmetic number, because the mean of its divisors is an integer number (218089690).

Almost surely, 2^28954513152 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 28954513152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47107373040).

28954513152 is an abundant number, since it is smaller than the sum of its proper divisors (65260232928).

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

28954513152 is a wasteful number, since it uses less digits than its factorization.

28954513152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 344 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 28954513152 in words is "twenty-eight billion, nine hundred fifty-four million, five hundred thirteen thousand, one hundred fifty-two".