28010707200 has 1296 divisors, whose sum is σ = 123994730496. Its totient is φ = 6121267200.

The previous prime is 28010707189. The next prime is 28010707211. The reversal of 28010707200 is 270701082.

28010707200 = 165³ + 166³ + ... + 579³.

It is an interprime number because it is at equal distance from previous prime (28010707189) and next prime (28010707211).

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 337478359 + ... + 337478441.

Almost surely, 2^28010707200 is an apocalyptic number.

28010707200 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 28010707200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61997365248).

28010707200 is an abundant number, since it is smaller than the sum of its proper divisors (95984023296).

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

28010707200 is an equidigital number, since it uses as much as digits as its factorization.

28010707200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The spelling of 28010707200 in words is "twenty-eight billion, ten million, seven hundred seven thousand, two hundred".