9028590480 has 800 divisors, whose sum is σ = 39382979328. Its totient is φ = 1866240000.

The previous prime is 9028590457. The next prime is 9028590491. The reversal of 9028590480 is 840958209.

9028590480 is a `hidden beast` number, since 9 + 0 + 2 + 85 + 90 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 35970355 + ... + 35970605.

Almost surely, 2^9028590480 is an apocalyptic number.

9028590480 is a gapful number since it is divisible by the number (90) 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 9028590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19691489664).

9028590480 is an abundant number, since it is smaller than the sum of its proper divisors (30354388848).

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

9028590480 is a wasteful number, since it uses less digits than its factorization.

9028590480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 9028590480 is about 95018.8953840235. The cubic root of 9028590480 is about 2082.2841094236.

The spelling of 9028590480 in words is "nine billion, twenty-eight million, five hundred ninety thousand, four hundred eighty".