8468929728 has 560 divisors, whose sum is σ = 30566807040. Its totient is φ = 2266361856.

The previous prime is 8468929709. The next prime is 8468929747. The reversal of 8468929728 is 8279298648.

It is an interprime number because it is at equal distance from previous prime (8468929709) and next prime (8468929747).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 60927483 + ... + 60927621.

It is an arithmetic number, because the mean of its divisors is an integer number (54583584).

Almost surely, 2^8468929728 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 8468929728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15283403520).

8468929728 is an abundant number, since it is smaller than the sum of its proper divisors (22097877312).

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

8468929728 is a wasteful number, since it uses less digits than its factorization.

8468929728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 247 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 63.

The square root of 8468929728 is about 92026.7880999875. The cubic root of 8468929728 is about 2038.3378848934.

The spelling of 8468929728 in words is "eight billion, four hundred sixty-eight million, nine hundred twenty-nine thousand, seven hundred twenty-eight".