1928442240 has 384 divisors, whose sum is σ = 7141305600. Its totient is φ = 478089216.

The previous prime is 1928442181. The next prime is 1928442247. The reversal of 1928442240 is 422448291.

1928442240 is a `hidden beast` number, since 192 + 8 + 4 + 422 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1928442195 and 1928442204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1928442247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7332349 + ... + 7332611.

It is an arithmetic number, because the mean of its divisors is an integer number (18597150).

Almost surely, 2^1928442240 is an apocalyptic number.

1928442240 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 1928442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570652800).

1928442240 is an abundant number, since it is smaller than the sum of its proper divisors (5212863360).

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

1928442240 is a wasteful number, since it uses less digits than its factorization.

1928442240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1928442240 is about 43914.0323814609. The cubic root of 1928442240 is about 1244.7120057720.

The spelling of 1928442240 in words is "one billion, nine hundred twenty-eight million, four hundred forty-two thousand, two hundred forty".