4288032 has 96 divisors (see below), whose sum is σ = 14313600. Its totient is φ = 1223424.

The previous prime is 4288021. The next prime is 4288043. The reversal of 4288032 is 2308824.

It is an interprime number because it is at equal distance from previous prime (4288021) and next prime (4288043).

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 4287987 and 4288005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5694 + ... + 6402.

It is an arithmetic number, because the mean of its divisors is an integer number (149100).

Almost surely, 2^4288032 is an apocalyptic number.

4288032 is a gapful number since it is divisible by the number (42) 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 4288032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156800).

4288032 is an abundant number, since it is smaller than the sum of its proper divisors (10025568).

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

4288032 is a wasteful number, since it uses less digits than its factorization.

4288032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 4288032 is about 2070.7563835468. The cubic root of 4288032 is about 162.4623281510.

The spelling of 4288032 in words is "four million, two hundred eighty-eight thousand, thirty-two".