42402528 has 288 divisors, whose sum is σ = 154103040. Its totient is φ = 11197440.

The previous prime is 42402523. The next prime is 42402551. The reversal of 42402528 is 82520424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42402523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1034188 + ... + 1034228.

It is an arithmetic number, because the mean of its divisors is an integer number (535080).

Almost surely, 2^42402528 is an apocalyptic number.

42402528 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 42402528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77051520).

42402528 is an abundant number, since it is smaller than the sum of its proper divisors (111700512).

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

42402528 is a wasteful number, since it uses less digits than its factorization.

42402528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42402528 is about 6511.7223528034. The cubic root of 42402528 is about 348.7096103069.

The spelling of 42402528 in words is "forty-two million, four hundred two thousand, five hundred twenty-eight".