832220928 has 216 divisors, whose sum is σ = 2992219776. Its totient is φ = 216115200.

The previous prime is 832220923. The next prime is 832220929. The reversal of 832220928 is 829022238.

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 = 832220892 and 832220901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832220923) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 175063 + ... + 179753.

Almost surely, 2^832220928 is an apocalyptic number.

832220928 is a gapful number since it is divisible by the number (88) 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 832220928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1496109888).

832220928 is an abundant number, since it is smaller than the sum of its proper divisors (2159998848).

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

832220928 is a wasteful number, since it uses less digits than its factorization.

832220928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4714 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 832220928 is about 28848.2395996705. The cubic root of 832220928 is about 940.6171170268.

The spelling of 832220928 in words is "eight hundred thirty-two million, two hundred twenty thousand, nine hundred twenty-eight".