28429317792 has 240 divisors, whose sum is σ = 85592263680. Its totient is φ = 9254310912.

The previous prime is 28429317767. The next prime is 28429317799. The reversal of 28429317792 is 29771392482.

It is a happy number.

28429317792 is a `hidden beast` number, since 284 + 293 + 1 + 7 + 79 + 2 = 666.

It is a super-2 number, since 2×28429317792² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28429317799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22054684 + ... + 22055972.

It is an arithmetic number, because the mean of its divisors is an integer number (356634432).

Almost surely, 2^28429317792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28429317792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42796131840).

28429317792 is an abundant number, since it is smaller than the sum of its proper divisors (57162945888).

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

28429317792 is a wasteful number, since it uses less digits than its factorization.

28429317792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1488 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 28429317792 in words is "twenty-eight billion, four hundred twenty-nine million, three hundred seventeen thousand, seven hundred ninety-two".