10573728 has 192 divisors, whose sum is σ = 34836480. Its totient is φ = 2764800.

The previous prime is 10573699. The next prime is 10573733. The reversal of 10573728 is 82737501.

It is a super-2 number, since 2×10573728² = 223607447635968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 341073 + ... + 341103.

It is an arithmetic number, because the mean of its divisors is an integer number (181440).

Almost surely, 2^10573728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10573728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17418240).

10573728 is an abundant number, since it is smaller than the sum of its proper divisors (24262752).

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

10573728 is a wasteful number, since it uses less digits than its factorization.

10573728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 10573728 is about 3251.7269258042. The cubic root of 10573728 is about 219.4872909103.

The spelling of 10573728 in words is "ten million, five hundred seventy-three thousand, seven hundred twenty-eight".