28577797248 has 1152 divisors, whose sum is σ = 112354387200. Its totient is φ = 6340239360.

The previous prime is 28577797247. The next prime is 28577797279. The reversal of 28577797248 is 84279777582.

It is a Harshad number since it is a multiple of its sum of digits (66).

Its product of digits (110638080) is a multiple of the sum of its prime divisors (98).

It is not an unprimeable number, because it can be changed into a prime (28577797247) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 664599915 + ... + 664599957.

It is an arithmetic number, because the mean of its divisors is an integer number (97529850).

Almost surely, 2^28577797248 is an apocalyptic number.

28577797248 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 28577797248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56177193600).

28577797248 is an abundant number, since it is smaller than the sum of its proper divisors (83776589952).

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

28577797248 is a wasteful number, since it uses less digits than its factorization.

28577797248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 98 counting only the distinct ones).

The product of its digits is 110638080, while the sum is 66.

The spelling of 28577797248 in words is "twenty-eight billion, five hundred seventy-seven million, seven hundred ninety-seven thousand, two hundred forty-eight".