28541800 has 192 divisors, whose sum is σ = 84816000. Its totient is φ = 8709120.

The previous prime is 28541783. The next prime is 28541833. The reversal of 28541800 is 814582.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771382 + ... + 771418.

It is an arithmetic number, because the mean of its divisors is an integer number (441750).

Almost surely, 2^28541800 is an apocalyptic number.

28541800 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 28541800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42408000).

28541800 is an abundant number, since it is smaller than the sum of its proper divisors (56274200).

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

28541800 is a wasteful number, since it uses less digits than its factorization.

28541800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 28541800 is about 5342.4526202859. The cubic root of 28541800 is about 305.6049981822.

The spelling of 28541800 in words is "twenty-eight million, five hundred forty-one thousand, eight hundred".