1008990528 has 448 divisors, whose sum is σ = 3604930560. Its totient is φ = 241532928.

The previous prime is 1008990517. The next prime is 1008990529. The reversal of 1008990528 is 8250998001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 1008990528.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1008990529) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12771993 + ... + 12772071.

It is an arithmetic number, because the mean of its divisors is an integer number (8046720).

Almost surely, 2^1008990528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008990528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1802465280).

1008990528 is an abundant number, since it is smaller than the sum of its proper divisors (2595940032).

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

1008990528 is a wasteful number, since it uses less digits than its factorization.

1008990528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 1008990528 is about 31764.6112521466. The cubic root of 1008990528 is about 1002.9879061917.

The spelling of 1008990528 in words is "one billion, eight million, nine hundred ninety thousand, five hundred twenty-eight".