62628720 has 160 divisors (see below), whose sum is σ = 242127360. Its totient is φ = 13009920.

The previous prime is 62628691. The next prime is 62628721. The reversal of 62628720 is 2782626.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (62628721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16786 + ... + 20174.

It is an arithmetic number, because the mean of its divisors is an integer number (1513296).

Almost surely, 2^62628720 is an apocalyptic number.

62628720 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 62628720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121063680).

62628720 is an abundant number, since it is smaller than the sum of its proper divisors (179498640).

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

62628720 is a wasteful number, since it uses less digits than its factorization.

62628720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3417 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 62628720 is about 7913.8309307187. The cubic root of 62628720 is about 397.1225165248.

The spelling of 62628720 in words is "sixty-two million, six hundred twenty-eight thousand, seven hundred twenty".