28420800 has 168 divisors, whose sum is σ = 96755712. Its totient is φ = 7296000.

The previous prime is 28420771. The next prime is 28420811. The reversal of 28420800 is 802482.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 148705 + ... + 148895.

Almost surely, 2^28420800 is an apocalyptic number.

28420800 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 28420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48377856).

28420800 is an abundant number, since it is smaller than the sum of its proper divisors (68334912).

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

28420800 is a wasteful number, since it uses less digits than its factorization.

28420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 28420800 is about 5331.1162058241. The cubic root of 28420800 is about 305.1725262371.

The spelling of 28420800 in words is "twenty-eight million, four hundred twenty thousand, eight hundred".