28353380702400 has 1344 divisors, whose sum is σ = 114792186163200. Its totient is φ = 6763831050240.

The previous prime is 28353380702347. The next prime is 28353380702453. The reversal of 28353380702400 is 420708335382.

28353380702400 is a `hidden beast` number, since 2 + 8 + 3 + 5 + 338 + 0 + 70 + 240 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28353380702347) and next prime (28353380702453).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2718700386 + ... + 2718710814.

It is an arithmetic number, because the mean of its divisors is an integer number (85410852800).

Almost surely, 2^{28353380702400} is an apocalyptic number.

28353380702400 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 28353380702400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57396093081600).

28353380702400 is an abundant number, since it is smaller than the sum of its proper divisors (86438805460800).

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

28353380702400 is a wasteful number, since it uses less digits than its factorization.

28353380702400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10623 (or 10602 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 28353380702400 in words is "twenty-eight trillion, three hundred fifty-three billion, three hundred eighty million, seven hundred two thousand, four hundred".