28966400 has 120 divisors (see below), whose sum is σ = 75096384. Its totient is φ = 11059200.

The previous prime is 28966373. The next prime is 28966409. The reversal of 28966400 is 466982.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28966409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396764 + ... + 396836.

Almost surely, 2^28966400 is an apocalyptic number.

28966400 is a gapful number since it is divisible by the number (20) 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 28966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37548192).

28966400 is an abundant number, since it is smaller than the sum of its proper divisors (46129984).

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

28966400 is an equidigital number, since it uses as much as digits as its factorization.

28966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 28966400 is about 5382.0442212973. The cubic root of 28966400 is about 307.1129817190.

The spelling of 28966400 in words is "twenty-eight million, nine hundred sixty-six thousand, four hundred".