1003828896 has 288 divisors, whose sum is σ = 3450807360. Its totient is φ = 283046400.

The previous prime is 1003828879. The next prime is 1003828901. The reversal of 1003828896 is 6988283001.

1003828896 is a `hidden beast` number, since 100 + 382 + 88 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5545926 + ... + 5546106.

It is an arithmetic number, because the mean of its divisors is an integer number (11981970).

Almost surely, 2^1003828896 is an apocalyptic number.

1003828896 is a gapful number since it is divisible by the number (16) 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 1003828896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725403680).

1003828896 is an abundant number, since it is smaller than the sum of its proper divisors (2446978464).

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

1003828896 is a wasteful number, since it uses less digits than its factorization.

1003828896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1003828896 is about 31683.2589232863. The cubic root of 1003828896 is about 1001.2746731846.

It can be divided in two parts, 100382 and 8896, that added together give a triangular number (109278 = T₄₆₇).

The spelling of 1003828896 in words is "one billion, three million, eight hundred twenty-eight thousand, eight hundred ninety-six".