1083587328 has 288 divisors, whose sum is σ = 3479705600. Its totient is φ = 331444224.

The previous prime is 1083587321. The next prime is 1083587341. The reversal of 1083587328 is 8237853801.

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

It is a super-2 number, since 2×1083587328² = 2348322994804359168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1083587321) 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, 4859025 + ... + 4859247.

Almost surely, 2^1083587328 is an apocalyptic number.

1083587328 is a gapful number since it is divisible by the number (18) 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 1083587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739852800).

1083587328 is an abundant number, since it is smaller than the sum of its proper divisors (2396118272).

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

1083587328 is a wasteful number, since it uses less digits than its factorization.

1083587328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 1083587328 is about 32917.8876600550. The cubic root of 1083587328 is about 1027.1202837954.

The spelling of 1083587328 in words is "one billion, eighty-three million, five hundred eighty-seven thousand, three hundred twenty-eight".