78122044728 has 192 divisors, whose sum is σ = 270052124160. Its totient is φ = 20603569536.

The previous prime is 78122044723. The next prime is 78122044733. The reversal of 78122044728 is 82744022187.

It is an interprime number because it is at equal distance from previous prime (78122044723) and next prime (78122044733).

It is a super-2 number, since 2×78122044728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78122044723) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43900 + ... + 397707.

It is an arithmetic number, because the mean of its divisors is an integer number (1406521480).

Almost surely, 2^78122044728 is an apocalyptic number.

78122044728 is a gapful number since it is divisible by the number (78) 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 78122044728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135026062080).

78122044728 is an abundant number, since it is smaller than the sum of its proper divisors (191930079432).

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

78122044728 is a wasteful number, since it uses less digits than its factorization.

78122044728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441648 (or 441632 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 78122044728 in words is "seventy-eight billion, one hundred twenty-two million, forty-four thousand, seven hundred twenty-eight".