3828972928 has 128 divisors (see below), whose sum is σ = 8556372000. Its totient is φ = 1692057600.

The previous prime is 3828972913. The next prime is 3828972937. The reversal of 3828972928 is 8292798283.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3828972928² = 29322067366713786368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9361588 + ... + 9361996.

Almost surely, 2^3828972928 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 3828972928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4278186000).

3828972928 is an abundant number, since it is smaller than the sum of its proper divisors (4727399072).

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

3828972928 is a wasteful number, since it uses less digits than its factorization.

3828972928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 592 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 58.

The square root of 3828972928 is about 61878.6952674343. The cubic root of 3828972928 is about 1564.4466774484.

The spelling of 3828972928 in words is "three billion, eight hundred twenty-eight million, nine hundred seventy-two thousand, nine hundred twenty-eight".