66028500 has 192 divisors, whose sum is σ = 219797760. Its totient is φ = 17107200.

The previous prime is 66028489. The next prime is 66028511. The reversal of 66028500 is 582066.

66028500 is a `hidden beast` number, since 6 + 602 + 8 + 50 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66028489) and next prime (66028511).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 904464 + ... + 904536.

It is an arithmetic number, because the mean of its divisors is an integer number (1144780).

Almost surely, 2^66028500 is an apocalyptic number.

66028500 is a gapful number since it is divisible by the number (60) 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 66028500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109898880).

66028500 is an abundant number, since it is smaller than the sum of its proper divisors (153769260).

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

66028500 is a wasteful number, since it uses less digits than its factorization.

66028500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 66028500 is about 8125.7922690652. The cubic root of 66028500 is about 404.1821630553.

The spelling of 66028500 in words is "sixty-six million, twenty-eight thousand, five hundred".