28635040 has 96 divisors (see below), whose sum is σ = 79519104. Its totient is φ = 9538560.

The previous prime is 28635037. The next prime is 28635043. The reversal of 28635040 is 4053682.

It is an interprime number because it is at equal distance from previous prime (28635037) and next prime (28635043).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (28635043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41095 + ... + 41785.

It is an arithmetic number, because the mean of its divisors is an integer number (828324).

Almost surely, 2^28635040 is an apocalyptic number.

28635040 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 28635040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39759552).

28635040 is an abundant number, since it is smaller than the sum of its proper divisors (50884064).

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

28635040 is a wasteful number, since it uses less digits than its factorization.

28635040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 28635040 is about 5351.1718342808. The cubic root of 28635040 is about 305.9374186743.

The spelling of 28635040 in words is "twenty-eight million, six hundred thirty-five thousand, forty".