28451273760 has 960 divisors, whose sum is σ = 125698124160. Its totient is φ = 5974456320.

The previous prime is 28451273749. The next prime is 28451273771. The reversal of 28451273760 is 6737215482.

28451273760 is a `hidden beast` number, since 2 + 8 + 4 + 512 + 73 + 7 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (28451273749) and next prime (28451273771).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 134840055 + ... + 134840265.

It is an arithmetic number, because the mean of its divisors is an integer number (130935546).

Almost surely, 2^28451273760 is an apocalyptic number.

28451273760 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 28451273760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62849062080).

28451273760 is an abundant number, since it is smaller than the sum of its proper divisors (97246850400).

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

28451273760 is a wasteful number, since it uses less digits than its factorization.

28451273760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 28451273760 in words is "twenty-eight billion, four hundred fifty-one million, two hundred seventy-three thousand, seven hundred sixty".