810142128 has 80 divisors (see below), whose sum is σ = 2334776160. Its totient is φ = 268959744.

The previous prime is 810142117. The next prime is 810142129. The reversal of 810142128 is 821241018.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (810142129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107376 + ... + 114672.

It is an arithmetic number, because the mean of its divisors is an integer number (29184702).

Almost surely, 2^810142128 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 810142128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167388080).

810142128 is an abundant number, since it is smaller than the sum of its proper divisors (1524634032).

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

810142128 is a wasteful number, since it uses less digits than its factorization.

810142128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7571 (or 7559 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 810142128 is about 28462.9957664333. The cubic root of 810142128 is about 932.2242701706.

The spelling of 810142128 in words is "eight hundred ten million, one hundred forty-two thousand, one hundred twenty-eight".