10721628 has 36 divisors (see below), whose sum is σ = 28697760. Its totient is φ = 3363456.

The previous prime is 10721621. The next prime is 10721653. The reversal of 10721628 is 82612701.

10721628 is a `hidden beast` number, since 10 + 7 + 21 + 628 = 666.

10721628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×10721628² = 229906613940768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10721621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8148 + ... + 9371.

It is an arithmetic number, because the mean of its divisors is an integer number (797160).

Almost surely, 2^10721628 is an apocalyptic number.

10721628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10721628 is an abundant number, since it is smaller than the sum of its proper divisors (17976132).

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

10721628 is a wasteful number, since it uses less digits than its factorization.

10721628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17546 (or 17541 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 10721628 is about 3274.3897141299. The cubic root of 10721628 is about 220.5059155863.

The spelling of 10721628 in words is "ten million, seven hundred twenty-one thousand, six hundred twenty-eight".