65628100 has 36 divisors (see below), whose sum is σ = 144147024. Its totient is φ = 25931680.

The previous prime is 65628097. The next prime is 65628103. The reversal of 65628100 is 182656.

It is an interprime number because it is at equal distance from previous prime (65628097) and next prime (65628103).

It is a super-2 number, since 2×65628100² = 8614095019220000, which contains 22 as substring.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (65628103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4347 + ... + 12253.

It is an arithmetic number, because the mean of its divisors is an integer number (4004084).

Almost surely, 2^65628100 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 65628100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72073512).

65628100 is an abundant number, since it is smaller than the sum of its proper divisors (78518924).

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

65628100 is a wasteful number, since it uses less digits than its factorization.

65628100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8004 (or 7997 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 65628100 is about 8101.1172069042. The cubic root of 65628100 is about 403.3635126808.

The spelling of 65628100 in words is "sixty-five million, six hundred twenty-eight thousand, one hundred".