28848640 has 80 divisors (see below), whose sum is σ = 70709760. Its totient is φ = 11284480.

The previous prime is 28848607. The next prime is 28848661. The reversal of 28848640 is 4684882.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 28848593 and 28848602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150945 + ... + 151135.

It is an arithmetic number, because the mean of its divisors is an integer number (883872).

Almost surely, 2^28848640 is an apocalyptic number.

28848640 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 28848640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35354880).

28848640 is an abundant number, since it is smaller than the sum of its proper divisors (41861120).

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

28848640 is an equidigital number, since it uses as much as digits as its factorization.

28848640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 28848640 is about 5371.0929986363. The cubic root of 28848640 is about 306.6962374342.

The spelling of 28848640 in words is "twenty-eight million, eight hundred forty-eight thousand, six hundred forty".