814982128 has 60 divisors (see below), whose sum is σ = 1680126840. Its totient is φ = 382507776.

The previous prime is 814982123. The next prime is 814982131. The reversal of 814982128 is 821289418.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814982123) 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, 634575 + ... + 635857.

It is an arithmetic number, because the mean of its divisors is an integer number (28002114).

Almost surely, 2^814982128 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 814982128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840063420).

814982128 is an abundant number, since it is smaller than the sum of its proper divisors (865144712).

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

814982128 is a wasteful number, since it uses less digits than its factorization.

814982128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1394 (or 1351 counting only the distinct ones).

The product of its digits is 73728, while the sum is 43.

The square root of 814982128 is about 28547.8918310967. The cubic root of 814982128 is about 934.0770355876.

The spelling of 814982128 in words is "eight hundred fourteen million, nine hundred eighty-two thousand, one hundred twenty-eight".