10738728 has 192 divisors, whose sum is σ = 39312000. Its totient is φ = 2557440.

The previous prime is 10738711. The next prime is 10738751. The reversal of 10738728 is 82783701.

It is a Cunningham number, because it is equal to 3277²-1.

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 = 10738692 and 10738701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71998 + ... + 72146.

It is an arithmetic number, because the mean of its divisors is an integer number (204750).

Almost surely, 2^10738728 is an apocalyptic number.

10738728 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 10738728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656000).

10738728 is an abundant number, since it is smaller than the sum of its proper divisors (28573272).

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

10738728 is a wasteful number, since it uses less digits than its factorization.

10738728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

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

The square root of 10738728 is about 3276.9998474214. Note that the first 3 decimals coincide. The cubic root of 10738728 is about 220.6230821310.

It can be divided in two parts, 1073 and 8728, that added together give a square (9801 = 99²).

The spelling of 10738728 in words is "ten million, seven hundred thirty-eight thousand, seven hundred twenty-eight".