28266900480 has 1320 divisors, whose sum is σ = 128079938448. Its totient is φ = 5908267008.

The previous prime is 28266900463. The next prime is 28266900509. The reversal of 28266900480 is 8400966282.

28266900480 is a `hidden beast` number, since 2 + 82 + 6 + 6 + 90 + 0 + 480 = 666.

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 119 ways as a sum of consecutive naturals, for example, 264176587 + ... + 264176693.

Almost surely, 2^28266900480 is an apocalyptic number.

28266900480 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 28266900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64039969224).

28266900480 is an abundant number, since it is smaller than the sum of its proper divisors (99813037968).

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

28266900480 is a wasteful number, since it uses less digits than its factorization.

28266900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 28266900480 in words is "twenty-eight billion, two hundred sixty-six million, nine hundred thousand, four hundred eighty".