812828412 has 192 divisors, whose sum is σ = 2458874880. Its totient is φ = 229478400.

The previous prime is 812828411. The next prime is 812828431. The reversal of 812828412 is 214828218.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812828411) 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, 3372612 + ... + 3372852.

It is an arithmetic number, because the mean of its divisors is an integer number (12806640).

Almost surely, 2^812828412 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 812828412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1229437440).

812828412 is an abundant number, since it is smaller than the sum of its proper divisors (1646046468).

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

812828412 is a wasteful number, since it uses less digits than its factorization.

812828412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 441 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 812828412 is about 28510.1457730402. The cubic root of 812828412 is about 933.2534954951.

The spelling of 812828412 in words is "eight hundred twelve million, eight hundred twenty-eight thousand, four hundred twelve".