28460408320 has 80 divisors (see below), whose sum is σ = 68402952288. Its totient is φ = 11356692480.

The previous prime is 28460408309. The next prime is 28460408329. The reversal of 28460408320 is 2380406482.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×28460408320² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 28460408320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28460408329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1064557 + ... + 1090963.

Almost surely, 2^28460408320 is an apocalyptic number.

28460408320 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 28460408320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34201476144).

28460408320 is an abundant number, since it is smaller than the sum of its proper divisors (39942543968).

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

28460408320 is an equidigital number, since it uses as much as digits as its factorization.

28460408320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26851 (or 26835 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The spelling of 28460408320 in words is "twenty-eight billion, four hundred sixty million, four hundred eight thousand, three hundred twenty".