28010628 has 72 divisors (see below), whose sum is σ = 77058072. Its totient is φ = 8543232.

The previous prime is 28010621. The next prime is 28010629. The reversal of 28010628 is 82601082.

28010628 is a `hidden beast` number, since 28 + 0 + 10 + 628 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17239104 + 10771524 = 4152^2 + 3282^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28010621) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 22026 + ... + 23262.

It is an arithmetic number, because the mean of its divisors is an integer number (1070251).

Almost surely, 2^28010628 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 28010628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38529036).

28010628 is an abundant number, since it is smaller than the sum of its proper divisors (49047444).

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

28010628 is a wasteful number, since it uses less digits than its factorization.

28010628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1301 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28010628 is about 5292.5067784557. The cubic root of 28010628 is about 303.6973124080.

The spelling of 28010628 in words is "twenty-eight million, ten thousand, six hundred twenty-eight".