10582428 has 48 divisors (see below), whose sum is σ = 25641504. Its totient is φ = 3394560.

The previous prime is 10582423. The next prime is 10582433. The reversal of 10582428 is 82428501.

10582428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10582423) and next prime (10582433).

It is a super-2 number, since 2×10582428² = 223975564750368, which contains 22 as substring.

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 10582395 and 10582404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10582421) 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, 67326 + ... + 67482.

It is an arithmetic number, because the mean of its divisors is an integer number (534198).

Almost surely, 2^10582428 is an apocalyptic number.

It is an amenable number.

10582428 is an abundant number, since it is smaller than the sum of its proper divisors (15059076).

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

10582428 is a wasteful number, since it uses less digits than its factorization.

10582428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 10582428 is about 3253.0644014529. The cubic root of 10582428 is about 219.5474720167.

It can be divided in two parts, 1058 and 2428, that added together give a triangular number (3486 = T₈₃).

The spelling of 10582428 in words is "ten million, five hundred eighty-two thousand, four hundred twenty-eight".