810260928 has 448 divisors, whose sum is σ = 2779776000. Its totient is φ = 229920768.

The previous prime is 810260923. The next prime is 810260939. The reversal of 810260928 is 829062018.

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 = 810260892 and 810260901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810260923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21898926 + ... + 21898962.

Almost surely, 2^810260928 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 810260928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389888000).

810260928 is an abundant number, since it is smaller than the sum of its proper divisors (1969515072).

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

810260928 is a wasteful number, since it uses less digits than its factorization.

810260928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 810260928 is about 28465.0826101032. The cubic root of 810260928 is about 932.2698353566.

The spelling of 810260928 in words is "eight hundred ten million, two hundred sixty thousand, nine hundred twenty-eight".