28947968 has 80 divisors (see below), whose sum is σ = 68058144. Its totient is φ = 12042240.

The previous prime is 28947959. The next prime is 28947973. The reversal of 28947968 is 86974982.

It is a super-4 number, since 4×28947968⁴ (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 146846 + ... + 147042.

Almost surely, 2^28947968 is an apocalyptic number.

28947968 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 28947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34029072).

28947968 is an abundant number, since it is smaller than the sum of its proper divisors (39110176).

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

28947968 is an equidigital number, since it uses as much as digits as its factorization.

28947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 53.

The square root of 28947968 is about 5380.3315882945. The cubic root of 28947968 is about 307.0478268317.

It can be divided in two parts, 28 and 947968, that multiplied together give a square (26543104 = 5152²).

The spelling of 28947968 in words is "twenty-eight million, nine hundred forty-seven thousand, nine hundred sixty-eight".