42021528 has 64 divisors (see below), whose sum is σ = 107827200. Its totient is φ = 13643520.

The previous prime is 42021517. The next prime is 42021547. The reversal of 42021528 is 82512024.

42021528 is a nontrivial binomial coefficient, being equal to C(9168, 2).

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

It is a junction number, because it is equal to n+sod(n) for n = 42021498 and 42021507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219913 + ... + 220103.

It is an arithmetic number, because the mean of its divisors is an integer number (1684800).

Almost surely, 2^42021528 is an apocalyptic number.

42021528 is the 9167-th triangular number and also the 4584-th hexagonal number.

It is an amenable number.

42021528 is an abundant number, since it is smaller than the sum of its proper divisors (65805672).

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

42021528 is a wasteful number, since it uses less digits than its factorization.

42021528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 42021528 is about 6482.4014068862. The cubic root of 42021528 is about 347.6620447424.

The spelling of 42021528 in words is "forty-two million, twenty-one thousand, five hundred twenty-eight".