28457309610 has 128 divisors (see below), whose sum is σ = 78275704320. Its totient is φ = 7445131200.

The previous prime is 28457309597. The next prime is 28457309633. The reversal of 28457309610 is 1690375482.

28457309610 is a `hidden beast` number, since 28 + 4 + 5 + 7 + 3 + 0 + 9 + 610 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1146835 + ... + 1171385.

It is an arithmetic number, because the mean of its divisors is an integer number (611528940).

It is a 1-persistent number, because it is pandigital, but 2⋅28457309610 = 56914619220 is not.

Almost surely, 2^28457309610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28457309610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39137852160).

28457309610 is an abundant number, since it is smaller than the sum of its proper divisors (49818394710).

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

28457309610 is an equidigital number, since it uses as much as digits as its factorization.

28457309610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24632 (or 24614 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 28457309610 in words is "twenty-eight billion, four hundred fifty-seven million, three hundred nine thousand, six hundred ten".