10378728 has 48 divisors (see below), whose sum is σ = 28716480. Its totient is φ = 3384864.

The previous prime is 10378691. The next prime is 10378741. The reversal of 10378728 is 82787301.

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 = 10378692 and 10378701.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1851 + ... + 4917.

It is an arithmetic number, because the mean of its divisors is an integer number (598260).

Almost surely, 2^10378728 is an apocalyptic number.

10378728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10378728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14358240).

10378728 is an abundant number, since it is smaller than the sum of its proper divisors (18337752).

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

10378728 is a wasteful number, since it uses less digits than its factorization.

10378728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3119 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 10378728 is about 3221.6033275374. The cubic root of 10378728 is about 218.1296538171.

The spelling of 10378728 in words is "ten million, three hundred seventy-eight thousand, seven hundred twenty-eight".