4298455728 has 320 divisors, whose sum is σ = 15046656000. Its totient is φ = 1147550976.

The previous prime is 4298455727. The next prime is 4298455781. The reversal of 4298455728 is 8275548924.

4298455728 is a `hidden beast` number, since 4 + 2 + 9 + 84 + 557 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4298455727) 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, 4538551 + ... + 4539497.

It is an arithmetic number, because the mean of its divisors is an integer number (47020800).

Almost surely, 2^4298455728 is an apocalyptic number.

4298455728 is a gapful number since it is divisible by the number (48) 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 4298455728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7523328000).

4298455728 is an abundant number, since it is smaller than the sum of its proper divisors (10748200272).

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

4298455728 is a wasteful number, since it uses less digits than its factorization.

4298455728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1057 counting only the distinct ones).

The product of its digits is 6451200, while the sum is 54.

The square root of 4298455728 is about 65562.6092220253. The cubic root of 4298455728 is about 1625.9386423110.

The spelling of 4298455728 in words is "four billion, two hundred ninety-eight million, four hundred fifty-five thousand, seven hundred twenty-eight".