814121928 has 48 divisors (see below), whose sum is σ = 2286582480. Its totient is φ = 271373328.

The previous prime is 814121909. The next prime is 814121963. The reversal of 814121928 is 829121418.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 814121892 and 814121901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207450 + ... + 211337.

It is an arithmetic number, because the mean of its divisors is an integer number (47637135).

Almost surely, 2^814121928 is an apocalyptic number.

It is an amenable number.

814121928 is an abundant number, since it is smaller than the sum of its proper divisors (1472460552).

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

814121928 is a wasteful number, since it uses less digits than its factorization.

814121928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418808 (or 418792 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 814121928 is about 28532.8219424578. The cubic root of 814121928 is about 933.7482856697.

The spelling of 814121928 in words is "eight hundred fourteen million, one hundred twenty-one thousand, nine hundred twenty-eight".