28800048 has 80 divisors (see below), whose sum is σ = 81780480. Its totient is φ = 8692992.

The previous prime is 28800047. The next prime is 28800059. The reversal of 28800048 is 84000882.

It is a junction number, because it is equal to n+sod(n) for n = 28799988 and 28800024.

It is not an unprimeable number, because it can be changed into a prime (28800043) 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 15 ways as a sum of consecutive naturals, for example, 20290 + ... + 21662.

It is an arithmetic number, because the mean of its divisors is an integer number (1022256).

Almost surely, 2^28800048 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 28800048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40890240).

28800048 is an abundant number, since it is smaller than the sum of its proper divisors (52980432).

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

28800048 is a wasteful number, since it uses less digits than its factorization.

28800048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 28800048 is about 5366.5676181336. The cubic root of 28800048 is about 306.5239432483.

It can be divided in two parts, 288000 and 48, that multiplied together give a cube (13824000 = 240³).

The spelling of 28800048 in words is "twenty-eight million, eight hundred thousand, forty-eight".