28462661280 has 240 divisors, whose sum is σ = 101951831520. Its totient is φ = 7476530688.

The previous prime is 28462661243. The next prime is 28462661321. The reversal of 28462661280 is 8216626482.

28462661280 is a `hidden beast` number, since 2 + 8 + 4 + 6 + 26 + 612 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×28462661280² (a number of 22 digits) contains 22 as substring.

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 39 ways as a sum of consecutive naturals, for example, 851931 + ... + 884709.

It is an arithmetic number, because the mean of its divisors is an integer number (424799298).

Almost surely, 2^28462661280 is an apocalyptic number.

28462661280 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 28462661280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50975915760).

28462661280 is an abundant number, since it is smaller than the sum of its proper divisors (73489170240).

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

28462661280 is a wasteful number, since it uses less digits than its factorization.

28462661280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32873 (or 32856 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 28462661280 in words is "twenty-eight billion, four hundred sixty-two million, six hundred sixty-one thousand, two hundred eighty".