2083505928 has 128 divisors (see below), whose sum is σ = 6193152000. Its totient is φ = 571495680.

The previous prime is 2083505917. The next prime is 2083505929. The reversal of 2083505928 is 8295053802.

It is a super-2 number, since 2×2083505928² = 8681993904022282368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2083505928.

It is not an unprimeable number, because it can be changed into a prime (2083505929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 929433 + ... + 931671.

It is an arithmetic number, because the mean of its divisors is an integer number (48384000).

Almost surely, 2^2083505928 is an apocalyptic number.

2083505928 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 2083505928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096576000).

2083505928 is an abundant number, since it is smaller than the sum of its proper divisors (4109646072).

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

2083505928 is a wasteful number, since it uses less digits than its factorization.

2083505928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 2083505928 is about 45645.4370994517. The cubic root of 2083505928 is about 1277.2176559276.

The spelling of 2083505928 in words is "two billion, eighty-three million, five hundred five thousand, nine hundred twenty-eight".