4258528800 has 144 divisors (see below), whose sum is σ = 14123471040. Its totient is φ = 1114147840.

The previous prime is 4258528787. The next prime is 4258528831. The reversal of 4258528800 is 88258524.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110461 + ... + 143939.

It is an arithmetic number, because the mean of its divisors is an integer number (98079660).

Almost surely, 2^4258528800 is an apocalyptic number.

4258528800 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 4258528800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7061735520).

4258528800 is an abundant number, since it is smaller than the sum of its proper divisors (9864942240).

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

4258528800 is a wasteful number, since it uses less digits than its factorization.

4258528800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33555 (or 33542 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 42.

The square root of 4258528800 is about 65257.4041776104. The cubic root of 4258528800 is about 1620.8887061014. Note that the first 3 decimals are identical.

The spelling of 4258528800 in words is "four billion, two hundred fifty-eight million, five hundred twenty-eight thousand, eight hundred".