3928249248 has 288 divisors, whose sum is σ = 13248204480. Its totient is φ = 1007677440.

The previous prime is 3928249231. The next prime is 3928249249. The reversal of 3928249248 is 8429428293.

It is a super-2 number, since 2×3928249248² = 30862284308825131008, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3928249248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928249249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4604790 + ... + 4605642.

It is an arithmetic number, because the mean of its divisors is an integer number (46000710).

Almost surely, 2^3928249248 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 3928249248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6624102240).

3928249248 is an abundant number, since it is smaller than the sum of its proper divisors (9319955232).

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

3928249248 is a wasteful number, since it uses less digits than its factorization.

3928249248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 980 (or 965 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 3928249248 is about 62675.7468882502. The cubic root of 3928249248 is about 1577.8522931650.

The spelling of 3928249248 in words is "three billion, nine hundred twenty-eight million, two hundred forty-nine thousand, two hundred forty-eight".