6285288420 has 192 divisors, whose sum is σ = 20249026560. Its totient is φ = 1617283584.

The previous prime is 6285288413. The next prime is 6285288437. The reversal of 6285288420 is 248825826.

6285288420 is a `hidden beast` number, since 6 + 28 + 528 + 84 + 20 = 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 63 ways as a sum of consecutive naturals, for example, 2536222 + ... + 2538698.

It is an arithmetic number, because the mean of its divisors is an integer number (105463680).

Almost surely, 2^6285288420 is an apocalyptic number.

6285288420 is a gapful number since it is divisible by the number (60) 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 6285288420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10124513280).

6285288420 is an abundant number, since it is smaller than the sum of its proper divisors (13963738140).

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

6285288420 is a wasteful number, since it uses less digits than its factorization.

6285288420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2651 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 6285288420 is about 79279.8109230843. The cubic root of 6285288420 is about 1845.4760091114.

The spelling of 6285288420 in words is "six billion, two hundred eighty-five million, two hundred eighty-eight thousand, four hundred twenty".