28426723573248 has 3840 divisors, whose sum is σ = 121713809817600. Its totient is φ = 6385228185600.

The previous prime is 28426723573231. The next prime is 28426723573291. The reversal of 28426723573248 is 84237532762482.

28426723573248 is a `hidden beast` number, since 2 + 8 + 426 + 72 + 35 + 73 + 2 + 48 = 666.

It is a super-2 number, since 2×28426723573248² (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, 142847857053 + ... + 142847857251.

It is an arithmetic number, because the mean of its divisors is an integer number (31696304640).

Almost surely, 2^{28426723573248} is an apocalyptic number.

28426723573248 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 28426723573248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60856904908800).

28426723573248 is an abundant number, since it is smaller than the sum of its proper divisors (93287086244352).

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

28426723573248 is a wasteful number, since it uses less digits than its factorization.

28426723573248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 303 counting only the distinct ones).

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

The spelling of 28426723573248 in words is "twenty-eight trillion, four hundred twenty-six billion, seven hundred twenty-three million, five hundred seventy-three thousand, two hundred forty-eight".