10287432 has 64 divisors (see below), whose sum is σ = 28929600. Its totient is φ = 3386880.

The previous prime is 10287401. The next prime is 10287439. The reversal of 10287432 is 23478201.

10287432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 10287396 and 10287405.

It is not an unprimeable number, because it can be changed into a prime (10287439) 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, 20707 + ... + 21197.

It is an arithmetic number, because the mean of its divisors is an integer number (452025).

Almost surely, 2^10287432 is an apocalyptic number.

10287432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

10287432 is the 2619-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10287432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14464800).

10287432 is an abundant number, since it is smaller than the sum of its proper divisors (18642168).

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

10287432 is a wasteful number, since it uses less digits than its factorization.

10287432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10287432 is about 3207.4026875339. The cubic root of 10287432 is about 217.4881800949.

The spelling of 10287432 in words is "ten million, two hundred eighty-seven thousand, four hundred thirty-two".