10287792 has 30 divisors (see below), whose sum is σ = 28791932. Its totient is φ = 3429216.

The previous prime is 10287787. The next prime is 10287821. The reversal of 10287792 is 29778201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 35578 + ... + 35865.

Almost surely, 2^10287792 is an apocalyptic number.

10287792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10287792 is an abundant number, since it is smaller than the sum of its proper divisors (18504140).

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

10287792 is a wasteful number, since it uses less digits than its factorization.

10287792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71457 (or 71448 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 36.

The square root of 10287792 is about 3207.4588072180. The cubic root of 10287792 is about 217.4907170037.

The spelling of 10287792 in words is "ten million, two hundred eighty-seven thousand, seven hundred ninety-two".