28466841600 has 432 divisors, whose sum is σ = 102845761200. Its totient is φ = 7524679680.

The previous prime is 28466841587. The next prime is 28466841673. The reversal of 28466841600 is 614866482.

28466841600 is a `hidden beast` number, since 28 + 466 + 8 + 4 + 160 + 0 = 666.

It is a super-2 number, since 2×28466841600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 75110211 + ... + 75110589.

Almost surely, 2^28466841600 is an apocalyptic number.

28466841600 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 28466841600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51422880600).

28466841600 is an abundant number, since it is smaller than the sum of its proper divisors (74378919600).

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

28466841600 is a wasteful number, since it uses less digits than its factorization.

28466841600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28466841600 in words is "twenty-eight billion, four hundred sixty-six million, eight hundred forty-one thousand, six hundred".