1925882784 has 192 divisors, whose sum is σ = 6444748800. Its totient is φ = 548100864.

The previous prime is 1925882771. The next prime is 1925882869. The reversal of 1925882784 is 4872885291.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1925882784.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2170789 + ... + 2171675.

It is an arithmetic number, because the mean of its divisors is an integer number (33566400).

Almost surely, 2^1925882784 is an apocalyptic number.

1925882784 is a gapful number since it is divisible by the number (14) 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 1925882784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222374400).

1925882784 is an abundant number, since it is smaller than the sum of its proper divisors (4518866016).

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

1925882784 is a wasteful number, since it uses less digits than its factorization.

1925882784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1258 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 1925882784 is about 43884.8810411969. The cubic root of 1925882784 is about 1244.1610954756.

The spelling of 1925882784 in words is "one billion, nine hundred twenty-five million, eight hundred eighty-two thousand, seven hundred eighty-four".