28401276960 has 576 divisors, whose sum is σ = 114584730624. Its totient is φ = 6270566400.

The previous prime is 28401276949. The next prime is 28401276961. The reversal of 28401276960 is 6967210482.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (28401276961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101072020 + ... + 101072300.

It is an arithmetic number, because the mean of its divisors is an integer number (198931824).

Almost surely, 2^28401276960 is an apocalyptic number.

28401276960 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 28401276960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57292365312).

28401276960 is an abundant number, since it is smaller than the sum of its proper divisors (86183453664).

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

28401276960 is a wasteful number, since it uses less digits than its factorization.

28401276960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 28401276960 in words is "twenty-eight billion, four hundred one million, two hundred seventy-six thousand, nine hundred sixty".