28537740 has 288 divisors, whose sum is σ = 113218560. Its totient is φ = 5644800.

The previous prime is 28537739. The next prime is 28537741. The reversal of 28537740 is 4773582.

28537740 is a `hidden beast` number, since 285 + 377 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28537739) and next prime (28537741).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28537695 and 28537704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28537741) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401905 + ... + 401975.

It is an arithmetic number, because the mean of its divisors is an integer number (393120).

Almost surely, 2^28537740 is an apocalyptic number.

28537740 is a gapful number since it is divisible by the number (20) 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 28537740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

28537740 is an abundant number, since it is smaller than the sum of its proper divisors (84680820).

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

28537740 is a wasteful number, since it uses less digits than its factorization.

28537740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 28537740 is about 5342.0726314793. The cubic root of 28537740 is about 305.5905069783.

It can be divided in two parts, 285 and 37740, that added together give a square (38025 = 195²).

The spelling of 28537740 in words is "twenty-eight million, five hundred thirty-seven thousand, seven hundred forty".