828469113472 has 768 divisors, whose sum is σ = 2362958438400. Its totient is φ = 284072140800.

The previous prime is 828469113421. The next prime is 828469113491. The reversal of 828469113472 is 274311964828.

It is a super-2 number, since 2×828469113472² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2307713229 + ... + 2307713587.

It is an arithmetic number, because the mean of its divisors is an integer number (3076768800).

Almost surely, 2^828469113472 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 828469113472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181479219200).

828469113472 is an abundant number, since it is smaller than the sum of its proper divisors (1534489324928).

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

828469113472 is a wasteful number, since it uses less digits than its factorization.

828469113472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 506 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 55.

The spelling of 828469113472 in words is "eight hundred twenty-eight billion, four hundred sixty-nine million, one hundred thirteen thousand, four hundred seventy-two".