87628200 has 288 divisors, whose sum is σ = 320604480. Its totient is φ = 19712000.

The previous prime is 87628153. The next prime is 87628201. The reversal of 87628200 is 282678.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (87628201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1234165 + ... + 1234235.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^87628200 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 87628200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160302240).

87628200 is an abundant number, since it is smaller than the sum of its proper divisors (232976280).

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

87628200 is a wasteful number, since it uses less digits than its factorization.

87628200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 87628200 is about 9360.9935370130. The cubic root of 87628200 is about 444.1687127688.

The spelling of 87628200 in words is "eighty-seven million, six hundred twenty-eight thousand, two hundred".