28550632320 has 768 divisors, whose sum is σ = 124556590080. Its totient is φ = 5871697920.

The previous prime is 28550632301. The next prime is 28550632339. The reversal of 28550632320 is 2323605582.

28550632320 is a `hidden beast` number, since 2 + 8 + 550 + 63 + 23 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (28550632301) and next prime (28550632339).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15764215 + ... + 15766025.

It is an arithmetic number, because the mean of its divisors is an integer number (162183060).

Almost surely, 2^28550632320 is an apocalyptic number.

28550632320 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 28550632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62278295040).

28550632320 is an abundant number, since it is smaller than the sum of its proper divisors (96005957760).

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

28550632320 is a wasteful number, since it uses less digits than its factorization.

28550632320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 28550632320 in words is "twenty-eight billion, five hundred fifty million, six hundred thirty-two thousand, three hundred twenty".