47862528 has 144 divisors (see below), whose sum is σ = 151092480. Its totient is φ = 13160448.

The previous prime is 47862527. The next prime is 47862533. The reversal of 47862528 is 82526874.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 47862528.

It is not an unprimeable number, because it can be changed into a prime (47862527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 155751 + ... + 156057.

Almost surely, 2^47862528 is an apocalyptic number.

47862528 is a gapful number since it is divisible by the number (48) 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 47862528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75546240).

47862528 is an abundant number, since it is smaller than the sum of its proper divisors (103229952).

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

47862528 is a wasteful number, since it uses less digits than its factorization.

47862528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 348 counting only the distinct ones).

The product of its digits is 215040, while the sum is 42.

The square root of 47862528 is about 6918.2749294893. The cubic root of 47862528 is about 363.0768379260.

The spelling of 47862528 in words is "forty-seven million, eight hundred sixty-two thousand, five hundred twenty-eight".