10468728 has 24 divisors (see below), whose sum is σ = 28353000. Its totient is φ = 3489552.

The previous prime is 10468727. The next prime is 10468741. The reversal of 10468728 is 82786401.

It is a tau number, because it is divible by the number of its divisors (24).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 10468692 and 10468701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10468721) 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, 72628 + ... + 72771.

It is an arithmetic number, because the mean of its divisors is an integer number (1181375).

Almost surely, 2^10468728 is an apocalyptic number.

10468728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10468728 is an abundant number, since it is smaller than the sum of its proper divisors (17884272).

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

10468728 is a wasteful number, since it uses less digits than its factorization.

10468728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145411 (or 145404 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 10468728 is about 3235.5413766478. The cubic root of 10468728 is about 218.7583498309.

The spelling of 10468728 in words is "ten million, four hundred sixty-eight thousand, seven hundred twenty-eight".