830528280 has 96 divisors (see below), whose sum is σ = 2709495360. Its totient is φ = 220631040.

The previous prime is 830528261. The next prime is 830528287. The reversal of 830528280 is 82825038.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830528287) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93304 + ... + 101816.

It is an arithmetic number, because the mean of its divisors is an integer number (28223910).

Almost surely, 2^830528280 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 830528280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354747680).

830528280 is an abundant number, since it is smaller than the sum of its proper divisors (1878967080).

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

830528280 is a wasteful number, since it uses less digits than its factorization.

830528280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8801 (or 8794 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 830528280 is about 28818.8875566008. The cubic root of 830528280 is about 939.9789794605.

It can be divided in two parts, 8305 and 28280, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 830528280 in words is "eight hundred thirty million, five hundred twenty-eight thousand, two hundred eighty".