28003968 has 160 divisors (see below), whose sum is σ = 86764260. Its totient is φ = 8957952.

The previous prime is 28003957. The next prime is 28003973. The reversal of 28003968 is 86930082.

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 1871424 = 5112^2 + 1368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 383580 + ... + 383652.

Almost surely, 2^28003968 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 28003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43382130).

28003968 is an abundant number, since it is smaller than the sum of its proper divisors (58760292).

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

28003968 is an equidigital number, since it uses as much as digits as its factorization.

28003968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 28003968 is about 5291.8775496037. The cubic root of 28003968 is about 303.6732407779.

The spelling of 28003968 in words is "twenty-eight million, three thousand, nine hundred sixty-eight".