28467008640 has 864 divisors, whose sum is σ = 121819288500. Its totient is φ = 6106447872.

The previous prime is 28467008639. The next prime is 28467008711. The reversal of 28467008640 is 4680076482.

It can be written as a sum of positive squares in 6 ways, for example, as 23320954944 + 5146053696 = 152712^2 + 71736^2 .

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 107 ways as a sum of consecutive naturals, for example, 81567186 + ... + 81567534.

Almost surely, 2^28467008640 is an apocalyptic number.

28467008640 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 28467008640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60909644250).

28467008640 is an abundant number, since it is smaller than the sum of its proper divisors (93352279860).

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

28467008640 is a wasteful number, since it uses less digits than its factorization.

28467008640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 28467008640 in words is "twenty-eight billion, four hundred sixty-seven million, eight thousand, six hundred forty".