28455315033600 has 4800 divisors, whose sum is σ = 139339793932416. Its totient is φ = 5564918661120.

The previous prime is 28455315033557. The next prime is 28455315033619. The reversal of 28455315033600 is 633051355482.

28455315033600 is a `hidden beast` number, since 2 + 8 + 4 + 5 + 5 + 3 + 1 + 5 + 0 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (4800).

It is a super-2 number, since 2×28455315033600² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

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 479 ways as a sum of consecutive naturals, for example, 181244044722 + ... + 181244044878.

Almost surely, 2^{28455315033600} is an apocalyptic number.

28455315033600 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 28455315033600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69669896966208).

28455315033600 is an abundant number, since it is smaller than the sum of its proper divisors (110884478898816).

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

28455315033600 is a wasteful number, since it uses less digits than its factorization.

28455315033600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 28455315033600 in words is "twenty-eight trillion, four hundred fifty-five billion, three hundred fifteen million, thirty-three thousand, six hundred".