28753442263728 has 1120 divisors, whose sum is σ = 109700424834560. Its totient is φ = 7085426503680.

The previous prime is 28753442263723. The next prime is 28753442263739. The reversal of 28753442263728 is 82736224435782.

28753442263728 is a `hidden beast` number, since 2 + 8 + 7 + 5 + 34 + 4 + 226 + 372 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28753442263723) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1472185323 + ... + 1472204853.

It is an arithmetic number, because the mean of its divisors is an integer number (97946807888).

Almost surely, 2^{28753442263728} is an apocalyptic number.

28753442263728 is a gapful number since it is divisible by the number (28) 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 28753442263728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54850212417280).

28753442263728 is an abundant number, since it is smaller than the sum of its proper divisors (80946982570832).

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

28753442263728 is a wasteful number, since it uses less digits than its factorization.

28753442263728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19669 (or 19648 counting only the distinct ones).

The product of its digits is 216760320, while the sum is 63.

The spelling of 28753442263728 in words is "twenty-eight trillion, seven hundred fifty-three billion, four hundred forty-two million, two hundred sixty-three thousand, seven hundred twenty-eight".