832928460 has 576 divisors, whose sum is σ = 3260436480. Its totient is φ = 156764160.

The previous prime is 832928399. The next prime is 832928461. The reversal of 832928460 is 64829238.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (832928461) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22511562 + ... + 22511598.

It is an arithmetic number, because the mean of its divisors is an integer number (5660480).

Almost surely, 2^832928460 is an apocalyptic number.

It is a pronic number, being equal to 28860×28861.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832928460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630218240).

832928460 is an abundant number, since it is smaller than the sum of its proper divisors (2427508020).

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

832928460 is a wasteful number, since it uses less digits than its factorization.

832928460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 832928460 is about 28860.4999956688. The cubic root of 832928460 is about 940.8836040357.

The spelling of 832928460 in words is "eight hundred thirty-two million, nine hundred twenty-eight thousand, four hundred sixty".