418428288 has 128 divisors (see below), whose sum is σ = 1265493600. Its totient is φ = 136028160.

The previous prime is 418428287. The next prime is 418428289. The reversal of 418428288 is 882824814.

It is an interprime number because it is at equal distance from previous prime (418428287) and next prime (418428289).

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×418428288² = 350164464397221888, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418428281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140220 + ... + 143172.

Almost surely, 2^418428288 is an apocalyptic number.

418428288 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 418428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632746800).

418428288 is an abundant number, since it is smaller than the sum of its proper divisors (847065312).

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

418428288 is a wasteful number, since it uses less digits than its factorization.

418428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 2999 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 418428288 is about 20455.5197440691. The cubic root of 418428288 is about 747.9519162281.

The spelling of 418428288 in words is "four hundred eighteen million, four hundred twenty-eight thousand, two hundred eighty-eight".