10801728 has 224 divisors, whose sum is σ = 39014400. Its totient is φ = 2861568.

The previous prime is 10801711. The next prime is 10801751. The reversal of 10801728 is 82710801.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229801 + ... + 229847.

Almost surely, 2^10801728 is an apocalyptic number.

10801728 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 10801728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507200).

10801728 is an abundant number, since it is smaller than the sum of its proper divisors (28212672).

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

10801728 is a wasteful number, since it uses less digits than its factorization.

10801728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The square root of 10801728 is about 3286.5982413432. The cubic root of 10801728 is about 221.0536781905.

The spelling of 10801728 in words is "ten million, eight hundred one thousand, seven hundred twenty-eight".