1892328048 has 160 divisors (see below), whose sum is σ = 5879623680. Its totient is φ = 579260160.

The previous prime is 1892328043. The next prime is 1892328079. The reversal of 1892328048 is 8408232981.

It is a junction number, because it is equal to n+sod(n) for n = 1892327994 and 1892328012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1892328043) 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 31 ways as a sum of consecutive naturals, for example, 1251613 + ... + 1253123.

It is an arithmetic number, because the mean of its divisors is an integer number (36747648).

Almost surely, 2^1892328048 is an apocalyptic number.

1892328048 is a gapful number since it is divisible by the number (18) 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 1892328048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939811840).

1892328048 is an abundant number, since it is smaller than the sum of its proper divisors (3987295632).

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

1892328048 is a wasteful number, since it uses less digits than its factorization.

1892328048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 1892328048 is about 43500.8970941980. The cubic root of 1892328048 is about 1236.8930297977.

It can be divided in two parts, 18923 and 28048, that added together give a triangular number (46971 = T₃₀₆).

The spelling of 1892328048 in words is "one billion, eight hundred ninety-two million, three hundred twenty-eight thousand, forty-eight".