37428 has 12 divisors (see below), whose sum is σ = 87360. Its totient is φ = 12472.

The previous prime is 37423. The next prime is 37441. The reversal of 37428 is 82473.

It is a tau number, because it is divible by the number of its divisors (12).

It is a d-powerful number, because it can be written as 3⁷ + 7⁴ + 4³ + 2¹⁵ + 8 .

It is a junction number, because it is equal to n+sod(n) for n = 37398 and 37407.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 37428.

It is not an unprimeable number, because it can be changed into a prime (37423) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1548 + ... + 1571.

It is an arithmetic number, because the mean of its divisors is an integer number (7280).

2³⁷⁴²⁸ is an apocalyptic number.

It is an amenable number.

37428 is an abundant number, since it is smaller than the sum of its proper divisors (49932).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43680).

37428 is a wasteful number, since it uses less digits than its factorization.

37428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3126 (or 3124 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 37428 is about 193.4631747904. The cubic root of 37428 is about 33.4502119251.

It can be divided in two parts, 37 and 428, that added together give a triangular number (465 = T₃₀).

The spelling of 37428 in words is "thirty-seven thousand, four hundred twenty-eight".