28133988480 has 384 divisors, whose sum is σ = 105257880000. Its totient is φ = 6883319808.

The previous prime is 28133988469. The next prime is 28133988577. The reversal of 28133988480 is 8488933182.

It is a happy number.

28133988480 is a `hidden beast` number, since 2 + 81 + 3 + 3 + 9 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13402471 + ... + 13404569.

Almost surely, 2^28133988480 is an apocalyptic number.

28133988480 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 28133988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52628940000).

28133988480 is an abundant number, since it is smaller than the sum of its proper divisors (77123891520).

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

28133988480 is a wasteful number, since it uses less digits than its factorization.

28133988480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 28133988480 in words is "twenty-eight billion, one hundred thirty-three million, nine hundred eighty-eight thousand, four hundred eighty".