828743370 has 192 divisors, whose sum is σ = 2639298816. Its totient is φ = 164505600.

The previous prime is 828743327. The next prime is 828743371. The reversal of 828743370 is 73347828.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (828743371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 323595 + ... + 326145.

It is an arithmetic number, because the mean of its divisors is an integer number (13746348).

Almost surely, 2^828743370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 828743370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1319649408).

828743370 is an abundant number, since it is smaller than the sum of its proper divisors (1810555446).

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

828743370 is a wasteful number, since it uses less digits than its factorization.

828743370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2605 (or 2598 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 828743370 is about 28787.9031886659. The cubic root of 828743370 is about 939.3051187077.

The spelling of 828743370 in words is "eight hundred twenty-eight million, seven hundred forty-three thousand, three hundred seventy".