10288401 has 16 divisors (see below), whose sum is σ = 14065920. Its totient is φ = 6687360.

The previous prime is 10288393. The next prime is 10288403. The reversal of 10288401 is 10488201.

10288401 = T₄₉₄ + T₄₉₅ + ... + T₅₆₆.

It is not a de Polignac number, because 10288401 - 2³ = 10288393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10288403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23656 + ... + 24086.

It is an arithmetic number, because the mean of its divisors is an integer number (879120).

Almost surely, 2^10288401 is an apocalyptic number.

It is an amenable number.

10288401 is a deficient number, since it is larger than the sum of its proper divisors (3777519).

10288401 is a wasteful number, since it uses less digits than its factorization.

10288401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616.

The product of its (nonzero) digits is 512, while the sum is 24.

The square root of 10288401 is about 3207.5537407813. The cubic root of 10288401 is about 217.4950084731.

The spelling of 10288401 in words is "ten million, two hundred eighty-eight thousand, four hundred one".