65056628 has 48 divisors (see below), whose sum is σ = 144977280. Its totient is φ = 24845184.

The previous prime is 65056613. The next prime is 65056643. The reversal of 65056628 is 82665056.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (65056613) and next prime (65056643).

It is a junction number, because it is equal to n+sod(n) for n = 65056591 and 65056600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7475 + ... + 13637.

It is an arithmetic number, because the mean of its divisors is an integer number (3020360).

Almost surely, 2^65056628 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 65056628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72488640).

65056628 is an abundant number, since it is smaller than the sum of its proper divisors (79920652).

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

65056628 is a wasteful number, since it uses less digits than its factorization.

65056628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6216 (or 6214 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 65056628 is about 8065.7689032107. The cubic root of 65056628 is about 402.1893038437.

The spelling of 65056628 in words is "sixty-five million, fifty-six thousand, six hundred twenty-eight".