89226728448 has 352 divisors, whose sum is σ = 291579789312. Its totient is φ = 23870668800.

The previous prime is 89226728389. The next prime is 89226728449. The reversal of 89226728448 is 84482762298.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×89226728448² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 89226728391 and 89226728400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89226728449) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10099393 + ... + 10108223.

Almost surely, 2^89226728448 is an apocalyptic number.

89226728448 is a gapful number since it is divisible by the number (88) 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 89226728448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145789894656).

89226728448 is an abundant number, since it is smaller than the sum of its proper divisors (202353060864).

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

89226728448 is a wasteful number, since it uses less digits than its factorization.

89226728448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8901 (or 8883 counting only the distinct ones).

The product of its digits is 24772608, while the sum is 60.

The spelling of 89226728448 in words is "eighty-nine billion, two hundred twenty-six million, seven hundred twenty-eight thousand, four hundred forty-eight".