28964344500 has 960 divisors, whose sum is σ = 120758077440. Its totient is φ = 5878656000.

The previous prime is 28964344499. The next prime is 28964344537. The reversal of 28964344500 is 544346982.

28964344500 is a `hidden beast` number, since 2 + 89 + 64 + 3 + 4 + 4 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 106879365 + ... + 106879635.

It is an arithmetic number, because the mean of its divisors is an integer number (125789664).

Almost surely, 2^28964344500 is an apocalyptic number.

28964344500 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 28964344500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60379038720).

28964344500 is an abundant number, since it is smaller than the sum of its proper divisors (91793732940).

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

28964344500 is a wasteful number, since it uses less digits than its factorization.

28964344500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 28964344500 in words is "twenty-eight billion, nine hundred sixty-four million, three hundred forty-four thousand, five hundred".