1832837952 has 112 divisors (see below), whose sum is σ = 5314931712. Its totient is φ = 552814080.

The previous prime is 1832837927. The next prime is 1832837953. The reversal of 1832837952 is 2597382381.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1832837953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 477513 + ... + 481335.

Almost surely, 2^1832837952 is an apocalyptic number.

1832837952 is a gapful number since it is divisible by the number (12) 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 1832837952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657465856).

1832837952 is an abundant number, since it is smaller than the sum of its proper divisors (3482093760).

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

1832837952 is a wasteful number, since it uses less digits than its factorization.

1832837952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4076 (or 4066 counting only the distinct ones).

The product of its digits is 725760, while the sum is 48.

The square root of 1832837952 is about 42811.6567303813. The cubic root of 1832837952 is about 1223.7931642470.

It can be divided in two parts, 18328 and 37952, that added together give a triangular number (56280 = T₃₃₅).

The spelling of 1832837952 in words is "one billion, eight hundred thirty-two million, eight hundred thirty-seven thousand, nine hundred fifty-two".