28820000 has 120 divisors (see below), whose sum is σ = 77937552. Its totient is φ = 10400000.

The previous prime is 28819991. The next prime is 28820009. The reversal of 28820000 is 2882.

It is an interprime number because it is at equal distance from previous prime (28819991) and next prime (28820009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (28820009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 219935 + ... + 220065.

Almost surely, 2^28820000 is an apocalyptic number.

28820000 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 28820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38968776).

28820000 is an abundant number, since it is smaller than the sum of its proper divisors (49117552).

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

28820000 is a wasteful number, since it uses less digits than its factorization.

28820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 28820000 is about 5368.4262125878. The cubic root of 28820000 is about 306.5947111162.

Adding to 28820000 its reverse (2882), we get a palindrome (28822882).

Multiplying 28820000 by its reverse (2882), we get a square (83059240000 = 288200²).

28820000 divided by its reverse (2882) gives a 4-th power (10000 = 10⁴).

It can be divided in two parts, 288 and 20000, that multiplied together give a square (5760000 = 2400²).

The spelling of 28820000 in words is "twenty-eight million, eight hundred twenty thousand".