963828936 has 128 divisors (see below), whose sum is σ = 3158630400. Its totient is φ = 266483520.

The previous prime is 963828917. The next prime is 963828973. The reversal of 963828936 is 639828369.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36591 + ... + 57153.

It is an arithmetic number, because the mean of its divisors is an integer number (24676800).

Almost surely, 2^963828936 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 963828936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1579315200).

963828936 is an abundant number, since it is smaller than the sum of its proper divisors (2194801464).

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

963828936 is a wasteful number, since it uses less digits than its factorization.

963828936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20616 (or 20606 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 963828936 is about 31045.5944700693. The cubic root of 963828936 is about 987.7946132866.

The spelling of 963828936 in words is "nine hundred sixty-three million, eight hundred twenty-eight thousand, nine hundred thirty-six".