37428560 has 160 divisors (see below), whose sum is σ = 104055840. Its totient is φ = 12386304.

The previous prime is 37428557. The next prime is 37428583. The reversal of 37428560 is 6582473.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 7529536 + 29899024 = 2744^2 + 5468^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 37428560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 512684 + ... + 512756.

It is an arithmetic number, because the mean of its divisors is an integer number (650349).

Almost surely, 2^37428560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 37428560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52027920).

37428560 is an abundant number, since it is smaller than the sum of its proper divisors (66627280).

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

37428560 is a wasteful number, since it uses less digits than its factorization.

37428560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 37428560 is about 6117.8885246464. Note that the first 3 decimals coincide. The cubic root of 37428560 is about 334.5037875228.

The spelling of 37428560 in words is "thirty-seven million, four hundred twenty-eight thousand, five hundred sixty".