816464028 has 96 divisors (see below), whose sum is σ = 2082931200. Its totient is φ = 248114944.

The previous prime is 816464027. The next prime is 816464041. The reversal of 816464028 is 820464618.

It is a super-2 number, since 2×816464028² = 1333227018035969568, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816464021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663718 + ... + 664946.

It is an arithmetic number, because the mean of its divisors is an integer number (21697200).

Almost surely, 2^816464028 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 816464028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041465600).

816464028 is an abundant number, since it is smaller than the sum of its proper divisors (1266467172).

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

816464028 is a wasteful number, since it uses less digits than its factorization.

816464028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1371 (or 1369 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 816464028 is about 28573.8346744010. The cubic root of 816464028 is about 934.6428437523.

The spelling of 816464028 in words is "eight hundred sixteen million, four hundred sixty-four thousand, twenty-eight".