828446464 has 36 divisors (see below), whose sum is σ = 1662152184. Its totient is φ = 412095488.

The previous prime is 828446461. The next prime is 828446467. The reversal of 828446464 is 464644828.

It is an interprime number because it is at equal distance from previous prime (828446461) and next prime (828446467).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828446461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 42219 + ... + 58645.

It is an arithmetic number, because the mean of its divisors is an integer number (46170894).

Almost surely, 2^828446464 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 828446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831076092).

828446464 is an abundant number, since it is smaller than the sum of its proper divisors (833705720).

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

828446464 is a wasteful number, since it uses less digits than its factorization.

828446464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16640 (or 16626 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 46.

The square root of 828446464 is about 28782.7459426650. The cubic root of 828446464 is about 939.1929333409.

The spelling of 828446464 in words is "eight hundred twenty-eight million, four hundred forty-six thousand, four hundred sixty-four".