28456578528 has 384 divisors, whose sum is σ = 94324995072. Its totient is φ = 7326498816.

The previous prime is 28456578517. The next prime is 28456578539. The reversal of 28456578528 is 82587565482.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28456578517) and next prime (28456578539).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26034750 + ... + 26035842.

It is an arithmetic number, because the mean of its divisors is an integer number (245638008).

Almost surely, 2^28456578528 is an apocalyptic number.

28456578528 is a gapful number since it is divisible by the number (28) 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 28456578528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47162497536).

28456578528 is an abundant number, since it is smaller than the sum of its proper divisors (65868416544).

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

28456578528 is a wasteful number, since it uses less digits than its factorization.

28456578528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1218 counting only the distinct ones).

The product of its digits is 43008000, while the sum is 60.

The spelling of 28456578528 in words is "twenty-eight billion, four hundred fifty-six million, five hundred seventy-eight thousand, five hundred twenty-eight".