4628090880 has 624 divisors, whose sum is σ = 19504278144. Its totient is φ = 990904320.

The previous prime is 4628090849. The next prime is 4628090881. The reversal of 4628090880 is 880908264.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (4628090881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21933975 + ... + 21934185.

It is an arithmetic number, because the mean of its divisors is an integer number (31256856).

Almost surely, 2^4628090880 is an apocalyptic number.

4628090880 is a gapful number since it is divisible by the number (40) 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 4628090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9752139072).

4628090880 is an abundant number, since it is smaller than the sum of its proper divisors (14876187264).

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

4628090880 is a wasteful number, since it uses less digits than its factorization.

4628090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4628090880 is about 68030.0733499531. The cubic root of 4628090880 is about 1666.4819962500.

The spelling of 4628090880 in words is "four billion, six hundred twenty-eight million, ninety thousand, eight hundred eighty".