10428192 has 36 divisors (see below), whose sum is σ = 29655990. Its totient is φ = 3475968.

The previous prime is 10428167. The next prime is 10428193. The reversal of 10428192 is 29182401.

10428192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9960336 + 467856 = 3156^2 + 684^2 .

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

It is a super-3 number, since 3×10428192³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10428193) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17817 + ... + 18392.

Almost surely, 2^10428192 is an apocalyptic number.

10428192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10428192 is an abundant number, since it is smaller than the sum of its proper divisors (19227798).

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

10428192 is a wasteful number, since it uses less digits than its factorization.

10428192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36225 (or 36214 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 10428192 is about 3229.2711251922. The cubic root of 10428192 is about 218.4756329443.

The spelling of 10428192 in words is "ten million, four hundred twenty-eight thousand, one hundred ninety-two".