28617468480 has 336 divisors, whose sum is σ = 106522625664. Its totient is φ = 7299072000.

The previous prime is 28617468479. The next prime is 28617468487. The reversal of 28617468480 is 8486471682.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28617468487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1780480 + ... + 1796480.

It is an arithmetic number, because the mean of its divisors is an integer number (317031624).

Almost surely, 2^28617468480 is an apocalyptic number.

28617468480 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 28617468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53261312832).

28617468480 is an abundant number, since it is smaller than the sum of its proper divisors (77905157184).

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

28617468480 is a wasteful number, since it uses less digits than its factorization.

28617468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16056 (or 16034 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 28617468480 in words is "twenty-eight billion, six hundred seventeen million, four hundred sixty-eight thousand, four hundred eighty".