28621800 has 72 divisors (see below), whose sum is σ = 96127590. Its totient is φ = 7632000.

The previous prime is 28621793. The next prime is 28621807. The reversal of 28621800 is 812682.

It is an interprime number because it is at equal distance from previous prime (28621793) and next prime (28621807).

It can be written as a sum of positive squares in 3 ways, for example, as 27688644 + 933156 = 5262^2 + 966^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (28621807) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6151 + ... + 9750.

Almost surely, 2^28621800 is an apocalyptic number.

28621800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28621800 is an abundant number, since it is smaller than the sum of its proper divisors (67505790).

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

28621800 is a wasteful number, since it uses less digits than its factorization.

28621800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15923 (or 15911 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 28621800 is about 5349.9345790393. The cubic root of 28621800 is about 305.8902592515.

The spelling of 28621800 in words is "twenty-eight million, six hundred twenty-one thousand, eight hundred".