28201068 has 108 divisors (see below), whose sum is σ = 86231880. Its totient is φ = 7947072.

The previous prime is 28201051. The next prime is 28201087. The reversal of 28201068 is 86010282.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 386280 + ... + 386352.

Almost surely, 2^28201068 is an apocalyptic number.

28201068 is a gapful number since it is divisible by the number (28) 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 28201068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43115940).

28201068 is an abundant number, since it is smaller than the sum of its proper divisors (58030812).

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

28201068 is a wasteful number, since it uses less digits than its factorization.

28201068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 85 counting only the distinct ones).

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

The square root of 28201068 is about 5310.4677760062. The cubic root of 28201068 is about 304.3840224196.

Multiplying 28201068 by its sum of digits (27), we get a square (761428836 = 27594²).

28201068 divided by its sum of digits (27) gives a square (1044484 = 1022²).

The spelling of 28201068 in words is "twenty-eight million, two hundred one thousand, sixty-eight".