28577758440 has 640 divisors, whose sum is σ = 111516549120. Its totient is φ = 5808499200.

The previous prime is 28577758367. The next prime is 28577758441. The reversal of 28577758440 is 4485777582.

It is not an unprimeable number, because it can be changed into a prime (28577758441) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 225021657 + ... + 225021783.

It is an arithmetic number, because the mean of its divisors is an integer number (174244608).

Almost surely, 2^28577758440 is an apocalyptic number.

28577758440 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 28577758440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55758274560).

28577758440 is an abundant number, since it is smaller than the sum of its proper divisors (82938790680).

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

28577758440 is a wasteful number, since it uses less digits than its factorization.

28577758440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 17561600, while the sum is 57.

The spelling of 28577758440 in words is "twenty-eight billion, five hundred seventy-seven million, seven hundred fifty-eight thousand, four hundred forty".