2083787328 has 168 divisors, whose sum is σ = 6520427904. Its totient is φ = 585446400.

The previous prime is 2083787317. The next prime is 2083787339. The reversal of 2083787328 is 8237873802.

It is an interprime number because it is at equal distance from previous prime (2083787317) and next prime (2083787339).

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 572073 + ... + 575703.

Almost surely, 2^2083787328 is an apocalyptic number.

2083787328 is a gapful number since it is divisible by the number (28) 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 2083787328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3260213952).

2083787328 is an abundant number, since it is smaller than the sum of its proper divisors (4436640576).

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

2083787328 is a wasteful number, since it uses less digits than its factorization.

2083787328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3721 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 2083787328 is about 45648.5194502516. The cubic root of 2083787328 is about 1277.2751540232.

The spelling of 2083787328 in words is "two billion, eighty-three million, seven hundred eighty-seven thousand, three hundred twenty-eight".