28461720000 has 560 divisors, whose sum is σ = 111114831872. Its totient is φ = 6289920000.

The previous prime is 28461719999. The next prime is 28461720011. The reversal of 28461720000 is 2716482.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 28461720000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26039454 + ... + 26040546.

Almost surely, 2^28461720000 is an apocalyptic number.

28461720000 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 28461720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55557415936).

28461720000 is an abundant number, since it is smaller than the sum of its proper divisors (82653111872).

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

28461720000 is a wasteful number, since it uses less digits than its factorization.

28461720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The spelling of 28461720000 in words is "twenty-eight billion, four hundred sixty-one million, seven hundred twenty thousand".