1024132032 has 448 divisors, whose sum is σ = 3862425600. Its totient is φ = 258370560.

The previous prime is 1024131967. The next prime is 1024132049. The reversal of 1024132032 is 2302314201.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1024131996 and 1024132014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5721319 + ... + 5721497.

Almost surely, 2^1024132032 is an apocalyptic number.

1024132032 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 1024132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931212800).

1024132032 is an abundant number, since it is smaller than the sum of its proper divisors (2838293568).

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

1024132032 is a wasteful number, since it uses less digits than its factorization.

1024132032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1024132032 is about 32002.0629335048. The cubic root of 1024132032 is about 1007.9801583396.

Adding to 1024132032 its reverse (2302314201), we get a palindrome (3326446233).

The spelling of 1024132032 in words is "one billion, twenty-four million, one hundred thirty-two thousand, thirty-two".