814128444 has 36 divisors (see below), whose sum is σ = 2065554400. Its totient is φ = 270371520.

The previous prime is 814128437. The next prime is 814128449. The reversal of 814128444 is 444821418.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×814128444² = 1325610246659722272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 814128399 and 814128408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814128449) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31969 + ... + 51480.

Almost surely, 2^814128444 is an apocalyptic number.

It is an amenable number.

814128444 is an abundant number, since it is smaller than the sum of its proper divisors (1251425956).

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

814128444 is a wasteful number, since it uses less digits than its factorization.

814128444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83730 (or 83725 counting only the distinct ones).

The product of its digits is 32768, while the sum is 36.

The square root of 814128444 is about 28532.9361265188. The cubic root of 814128444 is about 933.7507768148.

It can be divided in two parts, 8141 and 28444, that added together give a triangular number (36585 = T₂₇₀).

The spelling of 814128444 in words is "eight hundred fourteen million, one hundred twenty-eight thousand, four hundred forty-four".