45426528 has 288 divisors, whose sum is σ = 163749600. Its totient is φ = 12192768.

The previous prime is 45426523. The next prime is 45426539. The reversal of 45426528 is 82562454.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×45426528² = 4127138892269568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 45426492 and 45426501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45426523) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227726 + ... + 1227762.

It is an arithmetic number, because the mean of its divisors is an integer number (568575).

Almost surely, 2^45426528 is an apocalyptic number.

45426528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

45426528 is the 4263-rd heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45426528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81874800).

45426528 is an abundant number, since it is smaller than the sum of its proper divisors (118323072).

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

45426528 is a wasteful number, since it uses less digits than its factorization.

45426528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 78 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 45426528 is about 6739.9204743083. The cubic root of 45426528 is about 356.8095870389.

It can be divided in two parts, 45426 and 528, that added together give a palindrome (45954).

The spelling of 45426528 in words is "forty-five million, four hundred twenty-six thousand, five hundred twenty-eight".