28926720000 has 840 divisors, whose sum is σ = 111860068320. Its totient is φ = 7464960000.

The previous prime is 28926719999. The next prime is 28926720001. The reversal of 28926720000 is 2762982.

It is an interprime number because it is at equal distance from previous prime (28926719999) and next prime (28926720001).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28926720001) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 933119985 + ... + 933120015.

It is an arithmetic number, because the mean of its divisors is an integer number (133166748).

Almost surely, 2^28926720000 is an apocalyptic number.

28926720000 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 28926720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55930034160).

28926720000 is an abundant number, since it is smaller than the sum of its proper divisors (82933348320).

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

28926720000 is an frugal number, since it uses more digits than its factorization.

28926720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 28926720000 in words is "twenty-eight billion, nine hundred twenty-six million, seven hundred twenty thousand".