3928393728 has 480 divisors, whose sum is σ = 14270256000. Its totient is φ = 1051066368.

The previous prime is 3928393723. The next prime is 3928393751. The reversal of 3928393728 is 8273938293.

It is a super-3 number, since 3×3928393728³ (a number of 30 digits) contains 333 as substring.

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

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 (3928393723) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19740573 + ... + 19740771.

It is an arithmetic number, because the mean of its divisors is an integer number (29729700).

Almost surely, 2^3928393728 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 3928393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135128000).

3928393728 is an abundant number, since it is smaller than the sum of its proper divisors (10341862272).

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

3928393728 is a wasteful number, since it uses less digits than its factorization.

3928393728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 228 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The square root of 3928393728 is about 62676.8994766014. The cubic root of 3928393728 is about 1577.8716372620.

The spelling of 3928393728 in words is "three billion, nine hundred twenty-eight million, three hundred ninety-three thousand, seven hundred twenty-eight".