816228000 has 576 divisors, whose sum is σ = 3434296320. Its totient is φ = 179712000.

The previous prime is 816227981. The next prime is 816228019. The reversal of 816228000 is 822618.

It is an interprime number because it is at equal distance from previous prime (816227981) and next prime (816228019).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10331961 + ... + 10332039.

It is an arithmetic number, because the mean of its divisors is an integer number (5962320).

Almost surely, 2^816228000 is an apocalyptic number.

816228000 is a gapful number since it is divisible by the number (80) 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 816228000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717148160).

816228000 is an abundant number, since it is smaller than the sum of its proper divisors (2618068320).

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

816228000 is a wasteful number, since it uses less digits than its factorization.

816228000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 816228000 is about 28569.7042336808. The cubic root of 816228000 is about 934.5527711406.

The spelling of 816228000 in words is "eight hundred sixteen million, two hundred twenty-eight thousand".