916767828 has 96 divisors (see below), whose sum is σ = 2414563200. Its totient is φ = 300782592.

The previous prime is 916767821. The next prime is 916767829. The reversal of 916767828 is 828767619.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (916767821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2596900 + ... + 2597252.

It is an arithmetic number, because the mean of its divisors is an integer number (25151700).

Almost surely, 2^916767828 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 916767828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207281600).

916767828 is an abundant number, since it is smaller than the sum of its proper divisors (1497795372).

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

916767828 is a wasteful number, since it uses less digits than its factorization.

916767828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 916767828 is about 30278.1741193223. The cubic root of 916767828 is about 971.4485135591.

The spelling of 916767828 in words is "nine hundred sixteen million, seven hundred sixty-seven thousand, eight hundred twenty-eight".