28648368 has 120 divisors (see below), whose sum is σ = 92889888. Its totient is φ = 8073216.

The previous prime is 28648357. The next prime is 28648369. The reversal of 28648368 is 86384682.

It is a happy number.

28648368 is a `hidden beast` number, since 286 + 4 + 8 + 368 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28648369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97630 + ... + 97922.

Almost surely, 2^28648368 is an apocalyptic number.

28648368 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 28648368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46444944).

28648368 is an abundant number, since it is smaller than the sum of its proper divisors (64241520).

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

28648368 is a wasteful number, since it uses less digits than its factorization.

28648368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 28648368 is about 5352.4170241116. The cubic root of 28648368 is about 305.9848768638.

The spelling of 28648368 in words is "twenty-eight million, six hundred forty-eight thousand, three hundred sixty-eight".