10181628 has 36 divisors (see below), whose sum is σ = 25921168. Its totient is φ = 3369600.

The previous prime is 10181627. The next prime is 10181629. The reversal of 10181628 is 82618101.

It is an interprime number because it is at equal distance from previous prime (10181627) and next prime (10181629).

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10181627) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4500 + ... + 6372.

Almost surely, 2^10181628 is an apocalyptic number.

10181628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10181628 is an abundant number, since it is smaller than the sum of its proper divisors (15739540).

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

10181628 is a wasteful number, since it uses less digits than its factorization.

10181628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2034 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 10181628 is about 3190.8663400400. The cubic root of 10181628 is about 216.7400030510.

Adding to 10181628 its reverse (82618101), we get a palindrome (92799729).

It can be divided in two parts, 101 and 81628, that multiplied together give a palindrome (8244428).

The spelling of 10181628 in words is "ten million, one hundred eighty-one thousand, six hundred twenty-eight".