62828640 has 288 divisors, whose sum is σ = 256628736. Its totient is φ = 13685760.

The previous prime is 62828629. The next prime is 62828653. The reversal of 62828640 is 4682826.

62828640 is a `hidden beast` number, since 6 + 2 + 8 + 2 + 8 + 640 = 666.

62828640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 62828595 and 62828604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231705 + ... + 231975.

It is an arithmetic number, because the mean of its divisors is an integer number (891072).

Almost surely, 2^62828640 is an apocalyptic number.

62828640 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 62828640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128314368).

62828640 is an abundant number, since it is smaller than the sum of its proper divisors (193800096).

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

62828640 is a wasteful number, since it uses less digits than its factorization.

62828640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 62828640 is about 7926.4519174723. The cubic root of 62828640 is about 397.5446253448.

The spelling of 62828640 in words is "sixty-two million, eight hundred twenty-eight thousand, six hundred forty".