28354959360 has 1536 divisors, whose sum is σ = 132088320000. Its totient is φ = 5722472448.

The previous prime is 28354959359. The next prime is 28354959497. The reversal of 28354959360 is 6395945382.

28354959360 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 49 + 593 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a junction number, because it is equal to n+sod(n) for n = 28354959297 and 28354959306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1232824309 + ... + 1232824331.

It is an arithmetic number, because the mean of its divisors is an integer number (85995000).

Almost surely, 2^28354959360 is an apocalyptic number.

28354959360 is a gapful number since it is divisible by the number (20) 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 28354959360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66044160000).

28354959360 is an abundant number, since it is smaller than the sum of its proper divisors (103733360640).

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

28354959360 is a wasteful number, since it uses less digits than its factorization.

28354959360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 28354959360 in words is "twenty-eight billion, three hundred fifty-four million, nine hundred fifty-nine thousand, three hundred sixty".