828527700 has 576 divisors, whose sum is σ = 3359784960. Its totient is φ = 152064000.

The previous prime is 828527683. The next prime is 828527719. The reversal of 828527700 is 7725828.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9309256 + ... + 9309344.

It is an arithmetic number, because the mean of its divisors is an integer number (5832960).

Almost surely, 2^828527700 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 828527700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679892480).

828527700 is an abundant number, since it is smaller than the sum of its proper divisors (2531257260).

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

828527700 is a wasteful number, since it uses less digits than its factorization.

828527700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 828527700 is about 28784.1571007386. The cubic root of 828527700 is about 939.2236308721.

The spelling of 828527700 in words is "eight hundred twenty-eight million, five hundred twenty-seven thousand, seven hundred".