1632889152 has 112 divisors (see below), whose sum is σ = 4819985280. Its totient is φ = 542075904.

The previous prime is 1632889103. The next prime is 1632889183. The reversal of 1632889152 is 2519882361.

1632889152 is a `hidden beast` number, since 1 + 632 + 8 + 8 + 9 + 1 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1632889098 and 1632889107.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 452668 + ... + 456260.

Almost surely, 2^1632889152 is an apocalyptic number.

1632889152 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 1632889152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409992640).

1632889152 is an abundant number, since it is smaller than the sum of its proper divisors (3187096128).

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

1632889152 is a wasteful number, since it uses less digits than its factorization.

1632889152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3877 (or 3861 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 1632889152 is about 40409.0231507766. The cubic root of 1632889152 is about 1177.5668411081.

The spelling of 1632889152 in words is "one billion, six hundred thirty-two million, eight hundred eighty-nine thousand, one hundred fifty-two".