28550032560 has 480 divisors, whose sum is σ = 116525934720. Its totient is φ = 6136528896.

The previous prime is 28550032541. The next prime is 28550032579. The reversal of 28550032560 is 6523005582.

It is a happy number.

28550032560 is a `hidden beast` number, since 28 + 550 + 0 + 3 + 25 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (28550032541) and next prime (28550032579).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24760944 + ... + 24762096.

It is an arithmetic number, because the mean of its divisors is an integer number (242762364).

Almost surely, 2^28550032560 is an apocalyptic number.

28550032560 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 28550032560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58262967360).

28550032560 is an abundant number, since it is smaller than the sum of its proper divisors (87975902160).

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

28550032560 is a wasteful number, since it uses less digits than its factorization.

28550032560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 28550032560 in words is "twenty-eight billion, five hundred fifty million, thirty-two thousand, five hundred sixty".