828283830 has 64 divisors (see below), whose sum is σ = 2190157056. Its totient is φ = 198800000.

The previous prime is 828283817. The next prime is 828283837. The reversal of 828283830 is 38382828.

828283830 = T₄₀₄₁ + T₄₀₄₂ + ... + T₄₁₃₉.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828283837) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20905 + ... + 45755.

It is an arithmetic number, because the mean of its divisors is an integer number (34221204).

Almost surely, 2^828283830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828283830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1095078528).

828283830 is an abundant number, since it is smaller than the sum of its proper divisors (1361873226).

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

828283830 is a wasteful number, since it uses less digits than its factorization.

828283830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24973.

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 828283830 is about 28779.9206044770. The cubic root of 828283830 is about 939.1314710311.

The spelling of 828283830 in words is "eight hundred twenty-eight million, two hundred eighty-three thousand, eight hundred thirty".