28577752560 has 720 divisors, whose sum is σ = 121948444800. Its totient is φ = 6184346112.

The previous prime is 28577752513. The next prime is 28577752673. The reversal of 28577752560 is 6525777582.

28577752560 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 7 + 75 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 28577752497 and 28577752506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18097851 + ... + 18099429.

It is an arithmetic number, because the mean of its divisors is an integer number (169372840).

Almost surely, 2^28577752560 is an apocalyptic number.

28577752560 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 28577752560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60974222400).

28577752560 is an abundant number, since it is smaller than the sum of its proper divisors (93370692240).

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

28577752560 is a wasteful number, since it uses less digits than its factorization.

28577752560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640 (or 1615 counting only the distinct ones).

The product of its (nonzero) digits is 8232000, while the sum is 54.

The spelling of 28577752560 in words is "twenty-eight billion, five hundred seventy-seven million, seven hundred fifty-two thousand, five hundred sixty".