40528320 has 224 divisors, whose sum is σ = 151961088. Its totient is φ = 8957952.

The previous prime is 40528307. The next prime is 40528333. The reversal of 40528320 is 2382504.

It is an interprime number because it is at equal distance from previous prime (40528307) and next prime (40528333).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 248559 + ... + 248721.

Almost surely, 2^40528320 is an apocalyptic number.

40528320 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 40528320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75980544).

40528320 is an abundant number, since it is smaller than the sum of its proper divisors (111432768).

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

40528320 is a wasteful number, since it uses less digits than its factorization.

40528320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 40528320 is about 6366.1856711849. The cubic root of 40528320 is about 343.4942993191.

The spelling of 40528320 in words is "forty million, five hundred twenty-eight thousand, three hundred twenty".