1008084528 has 220 divisors, whose sum is σ = 3229017288. Its totient is φ = 302330880.

The previous prime is 1008084437. The next prime is 1008084559. The reversal of 1008084528 is 8254808001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1008084492 and 1008084501.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 10392576 + ... + 10392672.

Almost surely, 2^1008084528 is an apocalyptic number.

1008084528 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 1008084528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614508644).

1008084528 is an abundant number, since it is smaller than the sum of its proper divisors (2220932760).

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

1008084528 is an frugal number, since it uses more digits than its factorization.

1008084528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1008084528 is about 31750.3468957427. The cubic root of 1008084528 is about 1002.6876129323.

The spelling of 1008084528 in words is "one billion, eight million, eighty-four thousand, five hundred twenty-eight".