40028352 has 224 divisors, whose sum is σ = 136550400. Its totient is φ = 10063872.

The previous prime is 40028333. The next prime is 40028357. The reversal of 40028352 is 25382004.

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 not an unprimeable number, because it can be changed into a prime (40028357) 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, 506649 + ... + 506727.

It is an arithmetic number, because the mean of its divisors is an integer number (609600).

Almost surely, 2^40028352 is an apocalyptic number.

40028352 is a gapful number since it is divisible by the number (42) 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 40028352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68275200).

40028352 is an abundant number, since it is smaller than the sum of its proper divisors (96522048).

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

40028352 is a wasteful number, since it uses less digits than its factorization.

40028352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

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

The square root of 40028352 is about 6326.7963457029. The cubic root of 40028352 is about 342.0759723154.

The spelling of 40028352 in words is "forty million, twenty-eight thousand, three hundred fifty-two".