47262528 has 98 divisors (see below), whose sum is σ = 140754354. Its totient is φ = 15738624.

The previous prime is 47262517. The next prime is 47262541. The reversal of 47262528 is 82526274.

47262528 is a `hidden beast` number, since 4 + 7 + 2 + 625 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 24681024 + 22581504 = 4968^2 + 4752^2 .

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 = 47262492 and 47262501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 46150 + ... + 47162.

Almost surely, 2^47262528 is an apocalyptic number.

47262528 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 47262528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70377177).

47262528 is an abundant number, since it is smaller than the sum of its proper divisors (93491826).

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

47262528 is an equidigital number, since it uses as much as digits as its factorization.

47262528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1043 (or 1018 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 47262528 is about 6874.7747599467. The cubic root of 47262528 is about 361.5532884031.

The spelling of 47262528 in words is "forty-seven million, two hundred sixty-two thousand, five hundred twenty-eight".