832028544 has 128 divisors (see below), whose sum is σ = 2585088000. Its totient is φ = 262725120.

The previous prime is 832028521. The next prime is 832028557. The reversal of 832028544 is 445820238.

It is a tau number, because it is divible by the number of its divisors (128).

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 = 832028499 and 832028508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59329 + ... + 71999.

It is an arithmetic number, because the mean of its divisors is an integer number (20196000).

Almost surely, 2^832028544 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 832028544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1292544000).

832028544 is an abundant number, since it is smaller than the sum of its proper divisors (1753059456).

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

832028544 is a wasteful number, since it uses less digits than its factorization.

832028544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12713 (or 12695 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 832028544 is about 28844.9049920432. The cubic root of 832028544 is about 940.5446308142.

It can be divided in two parts, 8320 and 28544, that added together give a square (36864 = 192²).

The spelling of 832028544 in words is "eight hundred thirty-two million, twenty-eight thousand, five hundred forty-four".