532780128 has 72 divisors (see below), whose sum is σ = 1524873168. Its totient is φ = 176447232.

The previous prime is 532780097. The next prime is 532780217. The reversal of 532780128 is 821087235.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 532780092 and 532780101.

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 11 ways as a sum of consecutive naturals, for example, 39325 + ... + 51107.

It is an arithmetic number, because the mean of its divisors is an integer number (21178794).

Almost surely, 2^532780128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532780128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762436584).

532780128 is an abundant number, since it is smaller than the sum of its proper divisors (992093040).

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

532780128 is a wasteful number, since it uses less digits than its factorization.

532780128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11956 (or 11945 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 532780128 is about 23082.0304132890. The cubic root of 532780128 is about 810.6797768588.

The spelling of 532780128 in words is "five hundred thirty-two million, seven hundred eighty thousand, one hundred twenty-eight".