8926428672 has 480 divisors, whose sum is σ = 31049441280. Its totient is φ = 2415329280.

The previous prime is 8926428671. The next prime is 8926428691. The reversal of 8926428672 is 2768246298.

It is a super-2 number, since 2×8926428672² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8926428671) 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, 78994888 + ... + 78995000.

It is an arithmetic number, because the mean of its divisors is an integer number (64686336).

Almost surely, 2^8926428672 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 8926428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524720640).

8926428672 is an abundant number, since it is smaller than the sum of its proper divisors (22123012608).

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

8926428672 is a wasteful number, since it uses less digits than its factorization.

8926428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 235 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 8926428672 is about 94479.7791699367. The cubic root of 8926428672 is about 2074.4003626205.

The spelling of 8926428672 in words is "eight billion, nine hundred twenty-six million, four hundred twenty-eight thousand, six hundred seventy-two".