1928249440 has 144 divisors (see below), whose sum is σ = 5105041200. Its totient is φ = 687138816.

The previous prime is 1928249419. The next prime is 1928249483. The reversal of 1928249440 is 449428291.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 782931 + ... + 785389.

It is an arithmetic number, because the mean of its divisors is an integer number (35451675).

Almost surely, 2^1928249440 is an apocalyptic number.

1928249440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1928249440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552520600).

1928249440 is an abundant number, since it is smaller than the sum of its proper divisors (3176791760).

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

1928249440 is a wasteful number, since it uses less digits than its factorization.

1928249440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2529 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 1928249440 is about 43911.8371285010. The cubic root of 1928249440 is about 1244.6705235042.

The spelling of 1928249440 in words is "one billion, nine hundred twenty-eight million, two hundred forty-nine thousand, four hundred forty".