812368128 has 216 divisors, whose sum is σ = 2558515680. Its totient is φ = 226836480.

The previous prime is 812368127. The next prime is 812368133. The reversal of 812368128 is 821863218.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is not an unprimeable number, because it can be changed into a prime (812368127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1427428 + ... + 1427996.

It is an arithmetic number, because the mean of its divisors is an integer number (11844980).

Almost surely, 2^812368128 is an apocalyptic number.

812368128 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 812368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279257840).

812368128 is an abundant number, since it is smaller than the sum of its proper divisors (1746147552).

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

812368128 is a wasteful number, since it uses less digits than its factorization.

812368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 598 counting only the distinct ones).

The product of its digits is 36864, while the sum is 39.

The square root of 812368128 is about 28502.0723457085. The cubic root of 812368128 is about 933.0773030153.

The spelling of 812368128 in words is "eight hundred twelve million, three hundred sixty-eight thousand, one hundred twenty-eight".