833213628 has 120 divisors (see below), whose sum is σ = 2356706352. Its totient is φ = 255177216.

The previous prime is 833213627. The next prime is 833213651. The reversal of 833213628 is 826312338.

833213628 is a `hidden beast` number, since 8 + 3 + 3 + 21 + 3 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 833213592 and 833213601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (833213627) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1419151 + ... + 1419737.

Almost surely, 2^833213628 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 833213628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178353176).

833213628 is an abundant number, since it is smaller than the sum of its proper divisors (1523492724).

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

833213628 is a wasteful number, since it uses less digits than its factorization.

833213628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 942 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 833213628 is about 28865.4400278257. The cubic root of 833213628 is about 940.9909679107.

The spelling of 833213628 in words is "eight hundred thirty-three million, two hundred thirteen thousand, six hundred twenty-eight".