65541528 has 128 divisors (see below), whose sum is σ = 207748800. Its totient is φ = 18966528.

The previous prime is 65541523. The next prime is 65541551. The reversal of 65541528 is 82514556.

65541528 is a `hidden beast` number, since 65 + 541 + 52 + 8 = 666.

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 = 65541492 and 65541501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65541521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47050 + ... + 48422.

Almost surely, 2^65541528 is an apocalyptic number.

65541528 is a gapful number since it is divisible by the number (68) 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 65541528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103874400).

65541528 is an abundant number, since it is smaller than the sum of its proper divisors (142207272).

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

65541528 is a wasteful number, since it uses less digits than its factorization.

65541528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1408 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 65541528 is about 8095.7722299976. The cubic root of 65541528 is about 403.1860716560.

The spelling of 65541528 in words is "sixty-five million, five hundred forty-one thousand, five hundred twenty-eight".