28986544742400 has 5376 divisors, whose sum is σ = 140416727040000. Its totient is φ = 5826517401600.

The previous prime is 28986544742381. The next prime is 28986544742411. The reversal of 28986544742400 is 424744568982.

It is a happy number.

28986544742400 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 6 + 544 + 7 + 42 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5376).

It is a super-2 number, since 2×28986544742400² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 935049830385 + ... + 935049830415.

Almost surely, 2^{28986544742400} is an apocalyptic number.

28986544742400 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 28986544742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70208363520000).

28986544742400 is an abundant number, since it is smaller than the sum of its proper divisors (111430182297600).

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

28986544742400 is a wasteful number, since it uses less digits than its factorization.

28986544742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 28986544742400 in words is "twenty-eight trillion, nine hundred eighty-six billion, five hundred forty-four million, seven hundred forty-two thousand, four hundred".