63037728 has 144 divisors (see below), whose sum is σ = 196068600. Its totient is φ = 19095552.

The previous prime is 63037703. The next prime is 63037739. The reversal of 63037728 is 82773036.

It can be written as a sum of positive squares in 4 ways, for example, as 11370384 + 51667344 = 3372^2 + 7188^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 63037692 and 63037701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 422998 + ... + 423146.

Almost surely, 2^63037728 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 63037728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98034300).

63037728 is an abundant number, since it is smaller than the sum of its proper divisors (133030872).

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

63037728 is a wasteful number, since it uses less digits than its factorization.

63037728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 63037728 is about 7939.6302180895. The cubic root of 63037728 is about 397.9851345003.

The spelling of 63037728 in words is "sixty-three million, thirty-seven thousand, seven hundred twenty-eight".