5282413920 has 384 divisors, whose sum is σ = 21235737600. Its totient is φ = 1201360896.

The previous prime is 5282413897. The next prime is 5282413931. The reversal of 5282413920 is 293142825.

It is a happy number.

5282413920 is a `hidden beast` number, since 5 + 28 + 241 + 392 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9283396 + ... + 9283964.

It is an arithmetic number, because the mean of its divisors is an integer number (55301400).

Almost surely, 2^5282413920 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 5282413920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10617868800).

5282413920 is an abundant number, since it is smaller than the sum of its proper divisors (15953323680).

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

5282413920 is a wasteful number, since it uses less digits than its factorization.

5282413920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5282413920 is about 72680.2168406231. The cubic root of 5282413920 is about 1741.5828640442.

The spelling of 5282413920 in words is "five billion, two hundred eighty-two million, four hundred thirteen thousand, nine hundred twenty".