45147528 has 96 divisors (see below), whose sum is σ = 129168000. Its totient is φ = 14217984.

The previous prime is 45147517. The next prime is 45147539. The reversal of 45147528 is 82574154.

It is an interprime number because it is at equal distance from previous prime (45147517) and next prime (45147539).

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 = 45147492 and 45147501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226773 + ... + 226971.

It is an arithmetic number, because the mean of its divisors is an integer number (1345500).

Almost surely, 2^45147528 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 45147528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64584000).

45147528 is an abundant number, since it is smaller than the sum of its proper divisors (84020472).

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

45147528 is a wasteful number, since it uses less digits than its factorization.

45147528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 45147528 is about 6719.1910227348. The cubic root of 45147528 is about 356.0776037529.

The spelling of 45147528 in words is "forty-five million, one hundred forty-seven thousand, five hundred twenty-eight".