2833408820 has 96 divisors (see below), whose sum is σ = 6855045120. Its totient is φ = 972915840.

The previous prime is 2833408817. The next prime is 2833408843. The reversal of 2833408820 is 288043382.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

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, 1533137 + ... + 1534983.

It is an arithmetic number, because the mean of its divisors is an integer number (71406720).

Almost surely, 2^2833408820 is an apocalyptic number.

2833408820 is a gapful number since it is divisible by the number (20) 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 2833408820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427522560).

2833408820 is an abundant number, since it is smaller than the sum of its proper divisors (4021636300).

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

2833408820 is a wasteful number, since it uses less digits than its factorization.

2833408820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2253 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 2833408820 is about 53229.7738112797. The cubic root of 2833408820 is about 1415.0433579342.

The spelling of 2833408820 in words is "two billion, eight hundred thirty-three million, four hundred eight thousand, eight hundred twenty".