90370728 has 192 divisors, whose sum is σ = 301392000. Its totient is φ = 24820992.

The previous prime is 90370723. The next prime is 90370741. The reversal of 90370728 is 82707309.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 90370692 and 90370701.

It is not an unprimeable number, because it can be changed into a prime (90370723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 394518 + ... + 394746.

It is an arithmetic number, because the mean of its divisors is an integer number (1569750).

Almost surely, 2^90370728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90370728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150696000).

90370728 is an abundant number, since it is smaller than the sum of its proper divisors (211021272).

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

90370728 is a wasteful number, since it uses less digits than its factorization.

90370728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 90370728 is about 9506.3519817015. The cubic root of 90370728 is about 448.7549584470.

It can be divided in two parts, 903 and 70728, that added together give a triangular number (71631 = T₃₇₈).

The spelling of 90370728 in words is "ninety million, three hundred seventy thousand, seven hundred twenty-eight".