28148290560 has 880 divisors, whose sum is σ = 113848834176. Its totient is φ = 6598361088.

The previous prime is 28148290531. The next prime is 28148290567. The reversal of 28148290560 is 6509284182.

28148290560 is a `hidden beast` number, since 2 + 8 + 1 + 4 + 82 + 9 + 0 + 560 = 666.

It is a super-2 number, since 2×28148290560² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28148290567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 124001167 + ... + 124001393.

Almost surely, 2^28148290560 is an apocalyptic number.

28148290560 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 28148290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56924417088).

28148290560 is an abundant number, since it is smaller than the sum of its proper divisors (85700543616).

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

28148290560 is a wasteful number, since it uses less digits than its factorization.

28148290560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28148290560 in words is "twenty-eight billion, one hundred forty-eight million, two hundred ninety thousand, five hundred sixty".