632406528 has 480 divisors, whose sum is σ = 2252105856. Its totient is φ = 175177728.

The previous prime is 632406491. The next prime is 632406557. The reversal of 632406528 is 825604236.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 632406492 and 632406501.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27495925 + ... + 27495947.

Almost surely, 2^632406528 is an apocalyptic number.

632406528 is a gapful number since it is divisible by the number (68) 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 632406528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126052928).

632406528 is an abundant number, since it is smaller than the sum of its proper divisors (1619699328).

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

632406528 is a wasteful number, since it uses less digits than its factorization.

632406528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 632406528 is about 25147.6942879462. The cubic root of 632406528 is about 858.3520487912.

The spelling of 632406528 in words is "six hundred thirty-two million, four hundred six thousand, five hundred twenty-eight".