28749193939440 has 240 divisors, whose sum is σ = 107827224636768. Its totient is φ = 7076724599808.

The previous prime is 28749193939409. The next prime is 28749193939441. The reversal of 28749193939440 is 4493939194782.

28749193939440 is a `hidden beast` number, since 2 + 8 + 7 + 4 + 9 + 1 + 93 + 93 + 9 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28749193939441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56626819 + ... + 57132258.

Almost surely, 2^{28749193939440} is an apocalyptic number.

28749193939440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28749193939440 is an abundant number, since it is smaller than the sum of its proper divisors (79078030697328).

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

28749193939440 is a wasteful number, since it uses less digits than its factorization.

28749193939440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113759118 (or 113759100 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 28749193939440 in words is "twenty-eight trillion, seven hundred forty-nine billion, one hundred ninety-three million, nine hundred thirty-nine thousand, four hundred forty".