828321873 has 16 divisors (see below), whose sum is σ = 1121894400. Its totient is φ = 543525840.

The previous prime is 828321859. The next prime is 828321877. The reversal of 828321873 is 378123828.

It is a de Polignac number, because none of the positive numbers 2^k-828321873 is a prime.

It is a super-3 number, since 3×828321873³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (828321877) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73168 + ... + 83726.

It is an arithmetic number, because the mean of its divisors is an integer number (70118400).

Almost surely, 2^828321873 is an apocalyptic number.

It is an amenable number.

828321873 is a deficient number, since it is larger than the sum of its proper divisors (293572527).

828321873 is a wasteful number, since it uses less digits than its factorization.

828321873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972.

The product of its digits is 129024, while the sum is 42.

The square root of 828321873 is about 28780.5815264390. The cubic root of 828321873 is about 939.1458488849.

The spelling of 828321873 in words is "eight hundred twenty-eight million, three hundred twenty-one thousand, eight hundred seventy-three".