28019265652224 has 1920 divisors, whose sum is σ = 108990704148480. Its totient is φ = 7035575500800.

The previous prime is 28019265652211. The next prime is 28019265652241. The reversal of 28019265652224 is 42225656291082.

28019265652224 is a `hidden beast` number, since 2 + 8 + 0 + 1 + 92 + 6 + 5 + 6 + 522 + 24 = 666.

It is a super-2 number, since 2×28019265652224² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 29401117732 + ... + 29401118684.

It is an arithmetic number, because the mean of its divisors is an integer number (56765991744).

Almost surely, 2^{28019265652224} is an apocalyptic number.

28019265652224 is a gapful number since it is divisible by the number (24) 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 28019265652224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54495352074240).

28019265652224 is an abundant number, since it is smaller than the sum of its proper divisors (80971438496256).

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

28019265652224 is an frugal number, since it uses more digits than its factorization.

28019265652224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 28019265652224 in words is "twenty-eight trillion, nineteen billion, two hundred sixty-five million, six hundred fifty-two thousand, two hundred twenty-four".