28900806480 has 1440 divisors, whose sum is σ = 135535825152. Its totient is φ = 5553930240.

The previous prime is 28900806439. The next prime is 28900806481. The reversal of 28900806480 is 8460800982.

It is a happy number.

28900806480 is a `hidden beast` number, since 2 + 8 + 90 + 0 + 80 + 6 + 480 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28900806481) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 932284065 + ... + 932284095.

Almost surely, 2^28900806480 is an apocalyptic number.

28900806480 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 28900806480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67767912576).

28900806480 is an abundant number, since it is smaller than the sum of its proper divisors (106635018672).

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

28900806480 is a wasteful number, since it uses less digits than its factorization.

28900806480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28900806480 in words is "twenty-eight billion, nine hundred million, eight hundred six thousand, four hundred eighty".