40742928 has 60 divisors (see below), whose sum is σ = 117714688. Its totient is φ = 13141440.

The previous prime is 40742927. The next prime is 40742939. The reversal of 40742928 is 82924704.

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 = 40742892 and 40742901.

It is not an unprimeable number, because it can be changed into a prime (40742927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 100 + ... + 9027.

Almost surely, 2^40742928 is an apocalyptic number.

40742928 is a gapful number since it is divisible by the number (48) 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 40742928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58857344).

40742928 is an abundant number, since it is smaller than the sum of its proper divisors (76971760).

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

40742928 is a wasteful number, since it uses less digits than its factorization.

40742928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9172 (or 9163 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 40742928 is about 6383.0187215768. The cubic root of 40742928 is about 344.0995295202.

The spelling of 40742928 in words is "forty million, seven hundred forty-two thousand, nine hundred twenty-eight".