28772418931200 has 960 divisors, whose sum is σ = 120767163264000. Its totient is φ = 6572661719040.

The previous prime is 28772418931187. The next prime is 28772418931213. The reversal of 28772418931200 is 213981427782.

28772418931200 is a `hidden beast` number, since 2 + 8 + 7 + 7 + 241 + 89 + 312 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28772418931187) and next prime (28772418931213).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 6819722691 + ... + 6819726909.

It is an arithmetic number, because the mean of its divisors is an integer number (125799128400).

Almost surely, 2^{28772418931200} is an apocalyptic number.

28772418931200 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 28772418931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60383581632000).

28772418931200 is an abundant number, since it is smaller than the sum of its proper divisors (91994744332800).

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

28772418931200 is a wasteful number, since it uses less digits than its factorization.

28772418931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7082 (or 7055 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 28772418931200 in words is "twenty-eight trillion, seven hundred seventy-two billion, four hundred eighteen million, nine hundred thirty-one thousand, two hundred".