28479951360 has 960 divisors, whose sum is σ = 119039880960. Its totient is φ = 6157762560.

The previous prime is 28479951343. The next prime is 28479951373. The reversal of 28479951360 is 6315997482.

28479951360 is a `hidden beast` number, since 28 + 47 + 9 + 9 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×28479951360² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28479951297 and 28479951306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 390136284 + ... + 390136356.

It is an arithmetic number, because the mean of its divisors is an integer number (123999876).

It is a 1-persistent number, because it is pandigital, but 2⋅28479951360 = 56959902720 is not.

Almost surely, 2^28479951360 is an apocalyptic number.

28479951360 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 28479951360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59519940480).

28479951360 is an abundant number, since it is smaller than the sum of its proper divisors (90559929600).

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

28479951360 is a wasteful number, since it uses less digits than its factorization.

28479951360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 28479951360 in words is "twenty-eight billion, four hundred seventy-nine million, nine hundred fifty-one thousand, three hundred sixty".