47628001 has 2 divisors, whose sum is σ = 47628002. Its totient is φ = 47628000.

The previous prime is 47627989. The next prime is 47628013. The reversal of 47628001 is 10082674.

It is a balanced prime because it is at equal distance from previous prime (47627989) and next prime (47628013).

It can be written as a sum of positive squares in only one way, i.e., 33005025 + 14622976 = 5745^2 + 3824^2 .

It is a cyclic number.

It is not a de Polignac number, because 47628001 - 2⁵ = 47627969 is a prime.

It is not a weakly prime, because it can be changed into another prime (47628071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 23814000 + 23814001.

It is an arithmetic number, because the mean of its divisors is an integer number (23814001).

Almost surely, 2^47628001 is an apocalyptic number.

It is an amenable number.

47628001 is a deficient number, since it is larger than the sum of its proper divisors (1).

47628001 is an equidigital number, since it uses as much as digits as its factorization.

47628001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 47628001 is about 6901.3042970152. The cubic root of 47628001 is about 362.4828396157.

The spelling of 47628001 in words is "forty-seven million, six hundred twenty-eight thousand, one".