4281888 has 96 divisors (see below), whose sum is σ = 12531456. Its totient is φ = 1271808.

The previous prime is 4281869. The next prime is 4281889. The reversal of 4281888 is 8881824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (4281889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58620 + ... + 58692.

It is an arithmetic number, because the mean of its divisors is an integer number (130536).

Almost surely, 2^4281888 is an apocalyptic number.

4281888 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 4281888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6265728).

4281888 is an abundant number, since it is smaller than the sum of its proper divisors (8249568).

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

4281888 is a wasteful number, since it uses less digits than its factorization.

4281888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 32768, while the sum is 39.

The square root of 4281888 is about 2069.2723358708. The cubic root of 4281888 is about 162.3846976935.

The spelling of 4281888 in words is "four million, two hundred eighty-one thousand, eight hundred eighty-eight".