47628360 has 96 divisors (see below), whose sum is σ = 166715640. Its totient is φ = 11722752.

The previous prime is 47628359. The next prime is 47628401. The reversal of 47628360 is 6382674.

It can be written as a sum of positive squares in 4 ways, for example, as 33385284 + 14243076 = 5778^2 + 3774^2 .

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

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, 409 + ... + 9768.

Almost surely, 2^47628360 is an apocalyptic number.

47628360 is a gapful number since it is divisible by the number (40) 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 47628360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83357820).

47628360 is an abundant number, since it is smaller than the sum of its proper divisors (119087280).

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

47628360 is a wasteful number, since it uses less digits than its factorization.

47628360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10207 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 47628360 is about 6901.3303065424. The cubic root of 47628360 is about 362.4837503616.

The spelling of 47628360 in words is "forty-seven million, six hundred twenty-eight thousand, three hundred sixty".