28529640 has 192 divisors, whose sum is σ = 100900800. Its totient is φ = 6967296.

The previous prime is 28529623. The next prime is 28529663. The reversal of 28529640 is 4692582.

It is a happy number.

28529640 is a `hidden beast` number, since 2 + 8 + 5 + 2 + 9 + 640 = 666.

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 = 28529595 and 28529604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 294072 + ... + 294168.

It is an arithmetic number, because the mean of its divisors is an integer number (525525).

Almost surely, 2^28529640 is an apocalyptic number.

28529640 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 28529640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50450400).

28529640 is an abundant number, since it is smaller than the sum of its proper divisors (72371160).

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

28529640 is a wasteful number, since it uses less digits than its factorization.

28529640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 28529640 is about 5341.3144449658. The cubic root of 28529640 is about 305.5615918489.

The spelling of 28529640 in words is "twenty-eight million, five hundred twenty-nine thousand, six hundred forty".