1832268648 has 128 divisors (see below), whose sum is σ = 5565081600. Its totient is φ = 491049216.

The previous prime is 1832268643. The next prime is 1832268661. The reversal of 1832268648 is 8468622381.

1832268648 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1832268597 and 1832268606.

It is not an unprimeable number, because it can be changed into a prime (1832268643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325990 + ... + 331562.

It is an arithmetic number, because the mean of its divisors is an integer number (43477200).

Almost surely, 2^1832268648 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 1832268648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782540800).

1832268648 is an abundant number, since it is smaller than the sum of its proper divisors (3732812952).

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

1832268648 is a wasteful number, since it uses less digits than its factorization.

1832268648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5707 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 1832268648 is about 42805.0072771866. The cubic root of 1832268648 is about 1223.6664422800. Note that the first 3 decimals are identical.

It can be divided in two parts, 1832 and 268648, that added together give a triangular number (270480 = T₇₃₅).

The spelling of 1832268648 in words is "one billion, eight hundred thirty-two million, two hundred sixty-eight thousand, six hundred forty-eight".