28434500640 has 288 divisors, whose sum is σ = 119425453056. Its totient is φ = 5999339520.

The previous prime is 28434500603. The next prime is 28434500641. The reversal of 28434500640 is 4600543482.

28434500640 is a `hidden beast` number, since 2 + 8 + 4 + 3 + 4 + 5 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 28434500595 and 28434500604.

It is not an unprimeable number, because it can be changed into a prime (28434500641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22545 + ... + 239535.

It is an arithmetic number, because the mean of its divisors is an integer number (414671712).

Almost surely, 2^28434500640 is an apocalyptic number.

28434500640 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 28434500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59712726528).

28434500640 is an abundant number, since it is smaller than the sum of its proper divisors (90990952416).

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

28434500640 is a wasteful number, since it uses less digits than its factorization.

28434500640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217032 (or 217021 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 28434500640 in words is "twenty-eight billion, four hundred thirty-four million, five hundred thousand, six hundred forty".