828701500 has 96 divisors (see below), whose sum is σ = 2060577792. Its totient is φ = 288200000.

The previous prime is 828701429. The next prime is 828701501. The reversal of 828701500 is 5107828.

It is a super-2 number, since 2×828701500² = 1373492352204500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828701501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123225 + ... + 129775.

It is an arithmetic number, because the mean of its divisors is an integer number (21464352).

Almost surely, 2^828701500 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 828701500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1030288896).

828701500 is an abundant number, since it is smaller than the sum of its proper divisors (1231876292).

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

828701500 is a wasteful number, since it uses less digits than its factorization.

828701500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6592 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 31.

The square root of 828701500 is about 28787.1759643074. The cubic root of 828701500 is about 939.2892998309.

The spelling of 828701500 in words is "eight hundred twenty-eight million, seven hundred one thousand, five hundred".