814673328 has 80 divisors (see below), whose sum is σ = 2409726720. Its totient is φ = 232328448.

The previous prime is 814673309. The next prime is 814673339. The reversal of 814673328 is 823376418.

814673328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 814673328.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206026 + ... + 209942.

It is an arithmetic number, because the mean of its divisors is an integer number (30121584).

Almost surely, 2^814673328 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 814673328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204863360).

814673328 is an abundant number, since it is smaller than the sum of its proper divisors (1595053392).

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

814673328 is a wasteful number, since it uses less digits than its factorization.

814673328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4554 (or 4548 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 814673328 is about 28542.4828632689. The cubic root of 814673328 is about 933.9590455045.

The spelling of 814673328 in words is "eight hundred fourteen million, six hundred seventy-three thousand, three hundred twenty-eight".