28866277440 has 2688 divisors, whose sum is σ = 153373409280. Its totient is φ = 4777574400.

The previous prime is 28866277417. The next prime is 28866277481. The reversal of 28866277440 is 4477266882.

It is a happy number.

28866277440 is a `hidden beast` number, since 2 + 8 + 8 + 6 + 627 + 7 + 4 + 4 + 0 = 666.

It is a super-3 number, since 3×28866277440³ (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 931170225 + ... + 931170255.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^28866277440 is an apocalyptic number.

28866277440 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 28866277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76686704640).

28866277440 is an abundant number, since it is smaller than the sum of its proper divisors (124507131840).

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

28866277440 is a wasteful number, since it uses less digits than its factorization.

28866277440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 28866277440 in words is "twenty-eight billion, eight hundred sixty-six million, two hundred seventy-seven thousand, four hundred forty".