632128320 has 224 divisors, whose sum is σ = 2327696640. Its totient is φ = 161187840.

The previous prime is 632128307. The next prime is 632128349. The reversal of 632128320 is 23821236.

632128320 is a `hidden beast` number, since 632 + 1 + 2 + 8 + 3 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197130 + ... + 200310.

Almost surely, 2^632128320 is an apocalyptic number.

632128320 is a gapful number since it is divisible by the number (60) 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 632128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163848320).

632128320 is an abundant number, since it is smaller than the sum of its proper divisors (1695568320).

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

632128320 is a wasteful number, since it uses less digits than its factorization.

632128320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3214 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 632128320 is about 25142.1621981881. The cubic root of 632128320 is about 858.2261617115.

Adding to 632128320 its reverse (23821236), we get a palindrome (655949556).

The spelling of 632128320 in words is "six hundred thirty-two million, one hundred twenty-eight thousand, three hundred twenty".